Exhibit 5.1

666 Third Avenue New York, NY 10017 212-935-3000 212-983-3115 fax www.mintz.com

August 22, 2014

Angion Biomedica Corp.

51 Charles Lindbergh Boulevard

Uniondale, New York 11553

Ladies and Gentlemen:

We have acted as legal counsel to Angion Biomedica Corp., a Delaware corporation (the “Company”), in connection with the preparation and filing with the Securities and Exchange Commission (the “Commission”) of a Registration Statement (No. 333-195261) on Form S-1 (the “Registration Statement”), pursuant to which the Company is registering the offering for sale under the Securities Act of 1933, as amended (the “Securities Act”), of (i) an aggregate of 3,136,364 shares (the “Shares”) of the Company’s common stock, par value $0.01 per share (the “Common Stock”), including 409,091 shares subject to the underwriters’ over-allotment option, (ii) a warrant (the “Warrant”) to purchase up to 95,455 shares of Common Stock (the “Warrant Shares”) and (iii) the Warrant Shares. The Shares and the Warrant are to be sold by the Company pursuant to an underwriting agreement (the “Underwriting Agreement”) to be entered into between the Company and the several underwriters to be named therein. The form of the Underwriting Agreement has been filed as Exhibit 1.1 to the Registration Statement. This opinion is being rendered in connection with the filing of the Registration Statement with the Commission. All capitalized terms used herein and not otherwise defined shall have the respective meanings given to them in the Registration Statement.

In connection with this opinion, we have examined the Company’s Certificate of Incorporation and the Company’s Bylaws, each as currently in effect, and the form of the Underwriting Agreement; such other records of the corporate proceedings of the Company and certificates of the Company’s officers as we have deemed relevant; and the Registration Statement and the exhibits thereto. For purposes of this opinion we have assumed the filing with, and acceptance by, the Secretary of State of the State of Delaware of the amendment to the Company’s Certificate of Incorporation, which filing the Company will cause to occur immediately prior to the closing of the offering contemplated by the Registration Statement and the prospectus that forms a part of the Registration Statement.

In our examination, we have assumed the genuineness of all signatures, the legal capacity of natural persons, the authenticity of all documents submitted to us as originals, the conformity to original documents of all documents submitted to us as certified or photostatic copies and the authenticity of the originals of such copies.

Our opinion is limited to the General Corporation Law of the State of Delaware and we express no opinion with respect to the laws of any other jurisdiction. No opinion is expressed herein with respect to the qualification of the Shares, the Warrant or the Warrant Shares under the securities or blue sky laws of any state or any foreign jurisdiction.

Mintz, Levin, Cohn, Ferris, Glovsky and Popeo, P.C.

Boston | London | Los Angeles | New York | San Diego | San Francisco | Stamford | Washington

Mintz, Levin, Cohn, Ferris, Glovsky and Popeo, P.C.

August 22, 2014

Page 2

Please note that we are opining only as to the matters expressly set forth herein, and no opinion should be inferred as to any other matters. This opinion is based upon currently existing statutes, rules, regulations and judicial decisions, and we disclaim any obligation to advise you of any change in any of these sources of law or subsequent legal or factual developments which might affect any matters or opinions set forth herein.

Based upon the foregoing, we are of the opinion that (i) the Shares, when issued and sold in accordance with the form of the Underwriting Agreement most recently filed as an exhibit to the Registration Statement and the prospectus that forms a part of the Registration Statement, will be validly issued, fully paid and non-assessable, (ii) the Warrant, when issued and delivered by the Company in accordance with the form of the Underwriting Agreement most recently filed as an exhibit to the Registration Statement and the prospectus that forms a part of the Registration Statement, will constitute a binding obligation of the Company in accordance with its terms and (iii) the Warrant Shares, when issued and sold in accordance with the terms and conditions of the Warrant, will be validly issued, fully paid and non-assessable.

We understand that you wish to file this opinion with the Commission as an exhibit to the Registration Statement in accordance with the requirements of Item 601(b)(5) of Regulation S-K promulgated under the Securities Act and to reference the firm’s name under the caption “Legal Matters” in the prospectus which forms part of the Registration Statement, and we hereby consent thereto. In giving this consent, we do not admit that we are within the category of persons whose consent is required under Section 7 of the Securities Act or the rules and regulations of the Commission promulgated thereunder.