Exhibit 5.1

	53rd at Third 885 Third Avenue New York, New York 10022-4834 Tel: +1.212.906.1200 Fax: +1.212.751.4864 www.lw.com
	FIRM / AFFILIATE OFFICES
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	Boston	Munich
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	Century City	Orange County
September 8, 2020 Shift4 Payments, Inc. 2202 N. Irving Street Allentown, PA 18109 Re: 10,000,000 shares of Class A common stock, par value $0.0001 per share	Chicago	Paris
	Dubai	Riyadh
	Düsseldorf	San Diego
	Frankfurt	San Francisco
	Hamburg	Seoul
	Hong Kong	Shanghai
	Houston	Silicon Valley
	London	Singapore
	Los Angeles	Tokyo
	Madrid	Washington, D.C.
	Milan

Ladies and Gentlemen:

We have acted as special counsel to Shift4 Payments, Inc., a Delaware corporation (the “Company”), in connection with the proposed issuance of up to 2,000,000 shares of Class A common stock, $0.0001 par value per share, which are being offered by the Company (the “Primary Shares”) and up to 8,000,000 shares of Class A common stock (the “Secondary Shares” and, together with the Company Shares, the “Shares”), of which are being offered by certain selling stockholders of the Company (the “Selling Stockholders”). The Shares are included in a registration statement on Form S-1 under the Securities Act of 1933, as amended (the “Act”), initially filed with the Securities and Exchange Commission (the “Commission”) on September 8, 2020 (as amended, the “Registration Statement”). The Secondary Shares consist of (i) up to 143,627 issued and outstanding Shares held by certain of the Selling Stockholders, (ii) up to 3,637,501 Shares that are issuable upon the exchange of common units (“common units”) of Shift4 Payments, LLC, a Delaware limited liability company (“Shift4 LLC”) together with a corresponding number of shares of Class B common stock, $0.0001 par value per share of the Company, held by certain of the Selling Stockholders, and (iii) up to 4,218,872 Shares that are issuable upon the conversion of shares of Class C common stock, $0.0001 par value per share of the Company, held by certain Selling Stockholders in each case as set forth in the Registration Statement. The term “Shares” shall include any additional shares of Class A common stock registered by the Company pursuant to Rule 462(b) under the Act in connection with the offering contemplated by the Registration Statement. This opinion is being furnished in connection with the requirements of Item 601(b)(5) of Regulation S-K under the Act, and no opinion is expressed herein as to any matter pertaining to the contents of the Registration Statement or related Prospectus, other than as expressly stated herein with respect to the issue of the Shares.

As such counsel, we have examined such matters of fact and questions of law as we have considered appropriate for purposes of this letter. With your consent, we have relied upon certificates and other assurances of officers of the Company and others as to factual matters without having independently verified such factual matters. We are opining herein as to General Corporation Law of the State of Delaware, and we express no opinion with respect to any other laws.

September 8, 2020

Page 2

Subject to the foregoing and the other matters set forth herein, it is our opinion that, as of the date hereof, (i) with respect to the Shares being offered by the Selling Stockholders, such Shares have been duly authorized by all necessary corporate action of the Company, and such Shares are validly issued, fully paid and non-assessable, (ii) with respect to the Shares being offered by the Selling Stockholders, when such Shares shall have been duly registered on the books of the transfer agent and registrar therefor in the name or on behalf of the Selling Stockholders, and have been issued by the Company against payment therefor (not less than par value) in the circumstances contemplated by the Registration Statement, the issue and sale of the Shares will have been duly authorized by all necessary corporate action of the Company, and the Shares will be validly issued, fully paid and non-assessable and (iii) with respect to the Shares being offered by the Company, when such Shares shall have been duly registered on the books of the transfer agent and registrar therefor in the name or on behalf of the purchasers and have been issued by the Company against payment therefor (not less than par value) in the circumstances contemplated by the form of underwriting agreement most recently filed as an exhibit to the Registration Statement, the issue and sale of the Shares will have been duly authorized by all necessary corporate action of the Company, and the Shares will be validly issued, fully paid and non-assessable. In rendering the foregoing opinions in clauses (ii) and (iii), we have assumed that the Company will comply with all applicable notice requirements regarding uncertificated shares provided in the General Corporation Law of the State of Delaware.

This opinion is for your benefit in connection with the Registration Statement and may be relied upon by you and by persons entitled to rely upon it pursuant to the applicable provisions of the Act. We consent to your filing this opinion as an exhibit to the Registration Statement and to the reference to our firm in the Prospectus under the heading “Legal Matters.” We further consent to the incorporation by reference of this letter and consent into any post-effective amendment to the Registration Statement filed pursuant to Rule 462(b) with respect to the Shares. In giving such consent, we do not thereby admit that we are in the category of persons whose consent is required under Section 7 of the Act or the rules and regulations of the Commission thereunder.

Very truly yours,

/s/ Latham & Watkins LLP