Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

The Board of Directors and Unitholders

Teekay Offshore Partners L.P.

We consent to the use of:

(a) our audit reports dated April 12, 2017, with respect to the consolidated balance sheets of Teekay Offshore Partners L.P. and subsidiaries (the “Partnership”) as of December 31, 2016 and 2015, and the related consolidated statements of income, comprehensive income, cash flows, and changes in total equity for each of the years in the three-year period ended December 31, 2016, and the effectiveness of internal control over financial reporting as of December 31, 2016; and

(b) our audit report dated April 12, 2017, with respect to the consolidated balance sheets of OOG-TKP FPSO GmbH & Co KG and subsidiaries as of December 31, 2016 and 2015, and the related consolidated statements of income, cash flows and partners’ equity for each of the years in the three-year period ended December 31, 2016;

which are included in the December 31, 2016 Annual Report on Form 20-F of the Partnership, incorporated herein by reference, and to the reference to our firm under the heading “Experts” in the prospectus.

/s/ KPMG LLP

Chartered Professional Accountants

Vancouver, Canada

November 24, 2017