Exhibit 5.1

		12670 High Bluff Drive
		San Diego, California 92130
		Tel: +1.858.523.5400  Fax: +1.858.523.5450
		www.lw.com
		FIRM / AFFILIATE OFFICES
		Abu Dhabi		Milan
		Barcelona		Moscow
		Beijing		Munich
		Boston		New Jersey
		Brussels		New York
		Century City		Orange County
		Chicago		Paris
April 2, 2015		Doha		Riyadh
		Dubai		Rome
		Düsseldorf		San Diego
		Frankfurt		San Francisco
		Hamburg		Shanghai
		Hong Kong		Silicon Valley
		Houston		Singapore
		London		Tokyo
		Los Angeles		Washington, D.C.
		Madrid

Conatus Pharmaceuticals Inc.

16745 West Bernardo Drive, Suite 200

San Diego, CA 92127

Ladies and Gentlemen:

We have acted as special counsel to Conatus Pharmaceuticals Inc., a Delaware corporation (the “Company”), in connection with the proposed issuance of up to 4,025,000 shares (including up to 525,000 shares issuable upon exercise of the underwriters’ option to purchase additional shares) of common stock of the Company, par value $0.0001 per share (the “Shares”). The Shares are included in a registration statement on Form S-3 under the Securities Act of 1933, as amended (the “Act”), filed with the Securities and Exchange Commission (the “Commission”) on August 14, 2014 (Registration No. 333-198142) (as so filed and as amended, the “Registration Statement”), a base prospectus dated August 25, 2014 (the “Base Prospectus”), a preliminary prospectus supplement dated April 1, 2015 filed with the Commission pursuant to Rule 424(b) under the Act (together with the Base Prospectus, the “Preliminary Prospectus”) and a prospectus supplement dated April 2, 2015 filed with the Commission pursuant to Rule 424(b) under the Act (together with the Base Prospectus, the “Prospectus”). The Shares are being sold pursuant to an underwriting agreement dated April 2, 2015 by and among Stifel, Nicolaus & Company, Incorporated and Roth Capital Partners, LLC, as representatives of the several underwriters listed on Schedule I thereto, and the Company (the “Underwriting Agreement”). 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, the Preliminary Prospectus or the 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

April 2, 2015

Page 2

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 the General Corporation Law of the State of Delaware (the “DGCL”), and we express no opinion with respect to any other laws.

Subject to the foregoing and the other matters set forth herein, it is our opinion that, as of the date hereof, when the 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 Underwriting Agreement, 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 nonassessable. In rendering the foregoing opinion, we have assumed that the Company will comply with all applicable notice requirements regarding uncertificated shares provided in the DGCL.

We bring your attention to the fact that Latham & Watkins LLP attorneys rendering services in connection with the offering own certain securities of the Company.

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 Company’s Form 8-K dated April 2, 2015 and to the reference to our firm in the Prospectus under the heading “Legal Matters.” 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.