Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

The Board of Directors

Triton International Limited:

We consent to the incorporation by reference in the registration statement (No. 333-213013) on Form S-8 of Triton International Limited of our reports dated February 19, 2019, with respect to the consolidated balance sheets of Triton International Limited as of December 31, 2018 and 2017, and the related consolidated statements of operations, comprehensive income, shareholders’ equity, and cash flows for each of the years in the three-year period ended December 31, 2018, and the related notes and financial statement Schedule I - Condensed Financial Information of Registrant and Schedule II - Valuation and Qualifying Accounts (collectively, the “consolidated financial statements”), and the effectiveness of internal control over financial reporting as of December 31, 2018, which reports appears in the December 31, 2018 annual report on Form 10-K of Triton International Limited.

/s/ KPMG LLP

New York, New York

February 19, 2019