UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13G/A

Under the Securities Exchange Act of 1934

(Amendment No. 3)

Tecumseh Products Company

(Name of Issuer)

Class B Common Stock, $1.00 par value

(Title of Class of Securities)

878895101

(CUSIP Number)

June 4, 2013

(Date of Event which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule is filed:

¨ Rule 13d-1(b)

x Rule 13d-1(c)

¨ Rule 13d-1(d)

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).

Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.

SEC 1745 (3-06)

Tecumseh Products Company

1136 Oak Valley Drive, Ann Arbor, Michigan, 48108

This Schedule 13G/A is being filed by each of the following persons (the “Reporting Persons”):

(i) Brookfield Capital Partners II L.P., a Delaware limited partnership (“Brookfield II”);

(ii) Brookfield Capital Partners II GP L.P., a Delaware limited partnership (“Brookfield II GP”);

(iii) Brookfield Capital Partners Ltd., a corporation formed under the laws of the Province of Ontario (“BCP”);

(iv) Brookfield Holdings Canada Inc., a corporation formed under the laws of the Province of Ontario (“BHCI”); and

(v) Brookfield Asset Management Inc., a corporation formed under the laws of the Province of Ontario (“Brookfield”).

BCP is a wholly owned subsidiary of BHCI, which is a wholly-owned subsidiary of Brookfield. BCP is the general partner of Brookfield II GP which is the general partner Brookfield II.

A copy of the Joint Filing Agreement among the Reporting Persons is attached as Exhibit 1 hereto.

The principal business address of each of Brookfield II, Brookfield II GP, BCP, BHCI, and Brookfield is: Brookfield Place, Suite 300, 181 Bay Street, P.O. Box 762, Toronto, Ontario M5J 2T3.

Each of Brookfield II and Brookfield II GP are organized in the State of Delaware. Each of BCP, BHCI and Brookfield is organized in Ontario, Canada.

Class B Common Stock

878895101

Not Applicable

The beneficial ownership of Brookfield II is as follows:

(a) Amount beneficially owned: 0.

(b) Percent of Class: 0

(c) Number of shares as to which the person has:

(i) Sole power to vote or to direct the vote: 0.

(ii) Shared power to vote or to direct the vote: 0.

(iii) Sole power to dispose or to direct the disposition of: 0.

(iv) Shared power to dispose or to direct the disposition of: 0.

(1) Based on total outstanding according to Issuer’s most recent periodic report.

The beneficial ownership of each of Brookfield II GP, BCP, BHCI and Brookfield is as follows:

(a) Amount beneficially owned: 0

(b) Percent of Class: 0

(c) Number of shares as to which the person has:

(i) Sole power to vote or to direct the vote: 0.

(ii) Shared power to vote or to direct the vote: 0.

(iii) Sole power to dispose or to direct the disposition of: 0.

(iv) Shared power to dispose or to direct the disposition of: 0.

If this statement is being filed to report the fact that as of the date hereof the reporting persons have ceased to be beneficial owners of more than five percent of the class of securities, check the following    x

Not Applicable

Not Applicable

Not Applicable

Not Applicable

By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect.

Joint Filing Agreement, dated June 20, 2013, among Brookfield Capital Partners II L.P., Brookfield Capital Partners II GP L.P., Brookfield Capital Partners Ltd., Brookfield Holdings Canada Inc. and Brookfield Asset Management Inc.

SIGNATURE

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

Dated: July 3, 2013

Exhibit 1

JOINT FILING AGREEMENT

This will confirm the agreement by and among all the undersigned that the Schedule 13G/A filed on or about this date and any amendments thereto with respect to beneficial ownership by the undersigned of shares of Tecumseh Products Company’s Class B Common Stock, par value $1.00, is being filed on behalf of each of the undersigned in accordance with Rule 13d-1(k)(1) under the Securities Exchange Act of 1934. This agreement may be executed in two or more counterparts, each of which shall be deemed an original, but all of which together shall constitute one and the same instrument.

Dated: June 20, 2013