UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13D/A

Under the Securities Exchange Act of 1934

(Amendment No. 1)

(Name of Issuer)

(CUSIP Number)

(Name, Address and Telephone Number of Person Authorized to Receive Notices and Communications)

(Date of Event Which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition that is the subject of this Schedule 13D, and is filing this schedule because of §§240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check the following box.    ¨

Note: Schedules filed in paper format shall include a signed original and five copies of the schedule, including all exhibits. See Rule 13d-7 for other parties to whom copies are to be sent.

*The remainder of this cover page shall be filled out for a reporting person’s initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed to be “filed” for the purpose of section 18 of the Securities Exchange Act of 1934 (“Act”) or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

(Continued on following pages)

Schedule 13D/A

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Schedule 13D/A

Schedule 13D/A

Schedule 13D/A

Schedule 13D/A

Part II to Schedule 13D/A

This Amendment No. 1 to Schedule 13D (this “Amendment No. 1”) is hereby filed to update and supplement certain information with respect to beneficial ownership of shares of Class B Common Stock (“Class B Common”) of Hyster-Yale Materials Handling, Inc. (the “Issuer”) held by certain signatories to the Stockholders’ Agreement, dated as of September 12, 2012, among the stockholders party thereto and the Issuer (the “Stockholders’ Agreement”), that appeared in the Schedule 13D filed by the Reporting Persons on October 9, 2012 (the “Initial Filing”). This Amendment No. 1 (a) updates certain information with respect to certain Reporting Persons under the Initial Filing and (b) reflects the acquisition and/or disposition of shares of Class B Common by certain Reporting Persons. Capitalized terms used herein but not defined herein have the meanings assigned to them in the Initial Filing.

Item 2. Identity and Background.

(a)—(c) Item 2 of the Initial Filing is hereby amended as follows:

The following new Reporting Persons shall be added:

BTR 2012 GST Trust for Chloe R. Seelbach. Mr. Claiborne R. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 36779 Cedar Road, Gates Mills, Ohio 44040-9721. He is a private investor.

BTR 2012 GST Trust for Thomas P. Rankin. Thomas T. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 214 Banbury Rd., Richmond, Virginia 23221. He is retired.

BTR 2012 GST Trust for Helen R. Butler. Alfred M. Rankin, Jr. is the trustee of the trust. Mr. Rankin’s resident address is 7421 Markell Road, Waite Hill, Ohio 44094. He is (a) Chairman, President and Chief Executive Officer of the Issuer at 5875 Landerbrook Drive, Cleveland, Ohio 44124 and (b) Chairman, President and Chief Executive Officer of NACCO at 5875 Landerbrook Drive, Cleveland, Ohio 44124.

BTR 2012 GST Trust for Elisabeth M. Rankin. Roger F. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 1449 Carpenter Road, P.O. Box 550, Gates Mills, Ohio 44040. He is a private investor.

BTR 2012 GST Trust for Julia R. Kuipers. Mr. Claiborne R. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 36779 Cedar Road, Gates Mills, Ohio 44040-9721. He is a private investor.

BTR 2012 GST Trust for Clara R. Williams. Alfred M. Rankin, Jr. is the trustee of the trust. Mr. Rankin’s resident address is 7421 Markell Road, Waite Hill, Ohio 44094. He is (a) Chairman, President and Chief Executive Officer of the Issuer at 5875 Landerbrook Drive, Cleveland, Ohio 44124 and (b) Chairman, President and Chief Executive Officer of NACCO at 5875 Landerbrook Drive, Cleveland, Ohio 44124.

BTR 2012 GST Trust for Matthew M. Rankin. Thomas T. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 214 Banbury Rd., Richmond, Virginia 23221. He is retired.

BTR 2012 GST Trust for Claiborne R. Rankin, Jr. Mr. Claiborne R. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 36779 Cedar Road, Gates Mills, Ohio 44040-9721. He is a private investor.

BTR 2012 GST Trust for James T. Rankin. Thomas T. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 214 Banbury Rd., Richmond, Virginia 23221. He is retired.

BTR 2012 GST Trust for Anne F. Rankin. Roger F. Rankin is the trustee of the trust. Mr. Rankin’s resident address is 1449 Carpenter Road, P.O. Box 550, Gates Mills, Ohio 44040. He is a private investor.

Item 5. Interest in Securities of the Issuer.

(a)—(b) Although each Reporting Person disclaims beneficial ownership of any shares of Class B Common beneficially owned by each other Reporting Person, pursuant to the Act and regulations thereunder the Reporting Persons may be deemed as a group to have acquired beneficial ownership of 3,304,756 shares of Class B Common, the aggregate number of shares of Class B Common which are subject to the terms of the Stockholders’ Agreement, representing 69.74% of the outstanding Class B Common as of December 31, 2012.

The statements under the heading Alfred M. Rankin Jr., which appear in the Initial Filing, are hereby deleted and replaced in their entirety by the following:

Alfred M. Rankin, Jr. Mr. Rankin has the sole power to vote and dispose of 272,697 shares of Class B Common and shares the power to vote and dispose of 1,307,225 shares of Class B Common. Collectively, the 1,579,922 shares of Class B Common beneficially owned by Mr. Rankin constitute approximately 33.34% of the Class B Common outstanding as of December 31, 2012.

The statements under the heading David F. Taplin, which appear in the Initial Filing, are hereby deleted and replaced in their entirety by the following:

David F. Taplin. Mr. Taplin has the sole power to vote and dispose of 29,481 shares of Class B Common and shares the power to vote and dispose of 18,000 shares of Class B Common. Collectively, the 47,481 shares of Class B Common beneficially owned by Mr. Taplin constitute approximately 1.00% of the Class B Common outstanding as of December 31, 2012.

The statements under the heading Cory Freyer, which appear in the Initial Filing, are hereby deleted and replaced in their entirety by the following:

Cory Freyer. Mrs. Freyer has the sole power to vote and dispose of 0 shares of Class B Common and shares the power to vote and dispose of 90,440 shares of Class B Common. Collectively, the 90,440 shares of Class B Common beneficially owned by Mrs. Freyer constitute approximately 1.91% of the Class B Common outstanding as of December 31, 2012.

The following new Reporting Persons shall be added:

BTR 2012 GST Trust for Chloe R. Seelbach. The trust has no power to vote or dispose of any shares of Class B Common. Claiborne R. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Thomas P. Rankin. The trust has no power to vote or dispose of any shares of Class B Common. Thomas T. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Helen R. Butler. The trust has no power to vote or dispose of any shares of Class B Common. Alfred M. Rankin, Jr., as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Elisabeth M. Rankin. The trust has no power to vote or dispose of any shares of Class B Common. Roger F. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Julia R. Kuipers. The trust has no power to vote or dispose of any shares of Class B Common. Claiborne R. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Clara R. Williams. The trust has no power to vote or dispose of any shares of Class B Common. Alfred M. Rankin, Jr., as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Matthew M. Rankin. The trust has no power to vote or dispose of any shares of Class B Common. Thomas T. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Claiborne R. Rankin, Jr. The trust has no power to vote or dispose of any shares of Class B Common. Claiborne R. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for James T. Rankin. The trust has no power to vote or dispose of any shares of Class B Common. Thomas T. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

BTR 2012 GST Trust for Anne F. Rankin. The trust has no power to vote or dispose of any shares of Class B Common. Roger F. Rankin, as trustee, has the sole power to vote and dispose of the shares of Class B Common held by the trust.

Item 6. Contracts, Arrangements, Understandings or Relationships With Respect to Securities of the Issuer.

Item 6 of the Schedule 13D is hereby amended by inserting at the end thereof the following:

Effective December 31, 2012, each of the Issuer and the Participating Stockholders executed and delivered an Amendment to Stockholders’ Agreement amending the Stockholders’ Agreement to add additional Participating Stockholders under the Stockholders’ Agreement. A copy of the Amendment to Stockholders’ Agreement is attached hereto as Exhibit 7 and is incorporated herein in its entirety.

Item 7. Material to be Filed as Exhibits.

Item 7 of the Initial Filing is hereby amended by adding the following:

[Signatures begin on the next page.]

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SIGNATURES

After reasonable inquiry and to the best of our knowledge and belief, we certify that the information set forth in this statement is true, complete and correct.

Date: February 14, 2013

Exhibit 7

AMENDMENT TO STOCKHOLDERS’ AGREEMENT

This AMENDMENT TO STOCKHOLDERS’ AGREEMENT, dated as of December 31, 2012 (this “Amendment”), by and among the Depository, Hyster-Yale Materials Handling, Inc., a Delaware corporation (the “Corporation”), the new Participating Stockholder identified on the signature pages hereto (the “New Participating Stockholder”) and the Participating Stockholders under the Stockholders’ Agreement, dated as of September 28, 2012, as amended (the “Stockholders’ Agreement”), by and among the Depository, the Corporation and the Participating Stockholders. Capitalized terms defined in the Stockholders’ Agreement are used herein as so defined.

This Amendment sets forth the terms and conditions on which the New Participating Stockholder will join in and become a party to the Stockholders’ Agreement.

Pursuant to Section 8 of the Stockholders’ Agreement, prior to the acquisition of Class B Common Stock by a Permitted Transferee, the Stockholders’ Agreement may be amended to add a Permitted Transferee as a Participating Stockholder by a writing signed by the Signatories, the Corporation and such Permitted Transferee.

In consideration of the mutual promises hereinafter set forth and other good and valuable consideration had and received, the parties hereto agree as follows:

1. Representations and Warranties. The New Participating Stockholder represents and warrants to the other Participating Stockholders and the Corporation as follows:

(a) The New Participating Stockholder is the beneficial owner of, or simultaneously with the execution hereof will acquire and be deemed to be the beneficial owner of, the shares of Class B Common Stock identified below such New Participating Stockholder’s name on the signature pages hereto (except as otherwise described thereon), and except as otherwise described thereon such New Participating Stockholder does not own of record or beneficially or have any interest in any other shares of Class B Common Stock or any options to purchase or rights to subscribe or otherwise acquire any other shares of Class B Common Stock other than pursuant to the Stockholders’ Agreement;

(b) The New Participating Stockholder has the right, power and authority to execute and deliver this Amendment and to perform such New Participating Stockholder’s obligations hereunder and under the Stockholders’ Agreement; if this Amendment is being executed by a trustee on behalf of a trust, such trustee has full right, power and authority to enter into this Amendment on behalf of the trust and to bind the trust and its beneficiaries to the terms hereof; if this Amendment is being executed on behalf of a Participating Stockholder Organization, the person executing this Amendment is a duly authorized representative of such Participating Stockholder Organization with full right, power and authority to execute and deliver this Amendment on behalf of such Participating Stockholder Organization and to bind such Participating Stockholder Organization to the terms hereof; the execution, delivery and performance of this Amendment by such New Participating Stockholder will not constitute a violation of, conflict with or result in a default under (i) any contract, understanding or arrangement to which such New Participating Stockholder is a party or by which such New Participating

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Stockholder is bound or require the consent of any other person or any party pursuant thereto; (ii) any organizational, charter or other governance documents (including, without limitation, any partnership agreement, certificate of incorporation, or bylaws) of the New Participating Stockholder, (iii) any judgment, decree or order applicable to such New Participating Stockholder; or (iv) any law, rule or regulation of any governmental body;

(c) This Amendment and the Stockholders’ Agreement constitute legal, valid and binding agreements on the part of such New Participating Stockholder; the shares of Class B Common Stock owned beneficially by such New Participating Stockholder are fully paid and nonassessable; and

(d) The shares of Class B Common Stock owned beneficially by the New Participating Stockholder are now held by the New Participating Stockholder, free and clear of all adverse claims, liens, encumbrances and security interests (except as created by the Stockholders’ Agreement and any Amendments thereto, including this Amendment, and the Restated Certificate).

2. Address for Notices. The address for all notices to each New Participating Stockholder provided pursuant to the Stockholders’ Agreement shall be the address set forth below such New Participating Stockholder’s name on the signature pages hereto, or to such other address as such New Participating Stockholder may specify to the Depository.

3. Agreement to be Bound by Stockholders’ Agreement. The New Participating Stockholder agrees to be bound by all of the terms and provisions of the Stockholders’ Agreement applicable to Participating Stockholders.

4. Beneficiaries. The New Participating Stockholder acknowledges that the Corporation and each Participating Stockholder is a beneficiary of this Amendment.

5. Amendment of Stockholders’ Agreement. The Stockholders’ Agreement is hereby amended to add the New Participating Stockholder as a Participating Stockholder.

6. Signature of Amendment by Trusts, Minors and Incompetents.

(a) In order for a trust exclusively (as defined in Section 1.11 of the Stockholders’ Agreement) for the benefit of a Family Member or Members to be considered a Participating Stockholder:

(i) the trustee and all adult beneficiaries of such trusts having a current trust interest (as well as all Charitable Organization beneficiaries having a current trust interest) shall have previously signed the Stockholders’ Agreement or shall sign this Amendment as a Participating Stockholder;

(ii) the trustee and a parent or legal guardian, for trusts with minor beneficiaries having a current trust interest, shall sign this Amendment on behalf of any such minor beneficiaries; or

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(iii) the trustee and legal guardian, if any, for trusts with incompetent beneficiaries having a current trust interest, shall sign this Amendment on behalf of any such incompetent beneficiaries.

(b) If, at any time, any trust shall have an adult beneficiary (and such beneficiary is not incompetent) having a current trust interest or an ascertainable Charitable Organization beneficiary having a current trust interest and if such beneficiary has not previously signed the Stockholders’ Agreement, then if such beneficiary shall fail or be unable to sign this Amendment for a period of 30 calendar days following notification to such beneficiary of the terms of this Amendment and the Stockholders’ Agreement by the Depository and following signature of this Amendment by the trustee, the trust shall thereupon cease to be a Participating Stockholder and Section 3.2 of the Stockholders’ Agreement shall then apply as if the shares of Class B Common Stock held by the trust were then to be converted. The donor of a trust that is revocable by the donor alone, during the lifetime of such donor, shall be considered the only beneficiary thereof so long as such trust is so revocable.

(c) In the case of Class B Common Stock held by a custodian under the Uniform Transfers to Minors Act (or the practical equivalent thereof) for the benefit of a minor Family Member, the custodian shall sign this Amendment on behalf of such minor if such minor is to be considered a Participating Stockholder.

(d) In the case of Class B Common Stock held in the name of a minor Family Member, a parent or legal guardian of such minor shall sign this Amendment on behalf of such minor if such minor is to be considered a Participating Stockholder.

(e) In the case of Class B Common Stock held in the name of an incompetent Family Member, the legal guardian of such incompetent shall sign this Amendment on behalf of such incompetent if such incompetent is to be considered a Participating Stockholder.

(f) When a minor described in Section 6(c) or (d) reaches the age of majority, or an incompetent described in Section 6(e) is no longer impaired by such disability and has reached the age of majority, such Family Member shall execute and deliver an Amendment which has been executed and delivered by the Participating Stockholders (or their attorney-in-fact), the Corporation and the Depository. If such Family Member shall fail or be unable to sign such Amendment for a period of 30 calendar days following notification to such Family Member of the terms of the Stockholders’ Agreement by the Depository, such Family Member shall thereupon cease to be a Participating Stockholder and Section 3.2 of the Stockholders’ Agreement shall then apply as if the shares of Class B Common Stock were then to be converted.

7. Power of Attorney. The undersigned New Participating Stockholder hereby constitutes and appoints Alfred M. Rankin, Jr., Dennis W. LaBarre, Thomas C. Daniels, Charles A. Bittenbender, Suzanne Schulze Taylor and each of them, as the true and lawful attorney or attorneys-in-fact, with full power of substitution and resubstitution, for the undersigned and in the name, place and stead of the undersigned, in any and all capacities to:

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(a) execute any and all statements under Section 13 or Section 16 of the Securities Exchange Act of 1934 of beneficial ownership of shares of Class B Common Stock subject to the Stockholders’ Agreement as amended by this Amendment, including all statements on Schedule 13D and all amendments thereto, all joint filing agreements pursuant to Rule 13d-1(k) under such Exchange Act in connection with such statements, all initial statements of beneficial ownership on Form 3 and any and all other documents to be filed with the Securities and Exchange Commission, and to file the same, with all exhibits thereto, and all other documents in connection therewith, with the Securities and Exchange Commission, and

(b) execute and deliver any and all Amendments whereby a Family Member, Charitable Organization or Participating Stockholder Organization becomes a Participating Stockholder or any other amendment to the Stockholders’ Agreement in accordance with Section 8 of the Stockholders’ Agreement, other than those amendments that (i) extend the term of the Stockholders’ Agreement or (ii) amend Section 2, 3, 4 or 8 of the Stockholders’ Agreement, thereby granting to said attorney or attorneys-in-fact, and each of them, full power and authority to do so and to perform each and every act and thing requisite and necessary to be done in and about the premises, as fully to all intents and purposes as the undersigned might or could do in person, hereby ratifying and confirming all that said attorney or attorneys-in-fact or any of them, or their substitutes or resubstitutes, may lawfully do or cause to be done by virtue of this Section 7. The grant of this power of attorney shall not be affected by any disability of such undersigned New Participating Stockholder. If applicable law requires additional or substituted language or formalities (including witnesses or acknowledgments) in order to validate the power of attorney intended to be granted by this Section 7, each New Participating Stockholder agrees to execute and deliver such additional instruments and to take such further acts as may be necessary to validate such power of attorney.

8. Counterparts. This Amendment may be executed in multiple counterparts, each of which shall be an original and all of which shall constitute but one and the same instrument, without production of the others.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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IN WITNESS WHEREOF, the New Participating Stockholder, the Participating Stockholders, the Corporation and the Depository have executed this Amendment or caused this Amendment to be executed in their respective names, all as of the date and year first above written.

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Exhibit A

PARTICIPATING STOCKHOLDERS

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Exhibit 8

JOINT FILING AGREEMENT

Pursuant to Rule 13d-1(k)(1) of Regulation 13D-G of the General Rules and Regulations under the Securities Exchange Act of 1934, the undersigned agree that the statement to which this Exhibit is attached is filed on behalf of each of the undersigned.

Date: February 14, 2013

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