Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

We consent to the incorporation by reference in the Registration Statement (Form S-8) pertaining to the Triumph Group, Inc. 2018 Equity Incentive Plan of our reports dated May 22, 2018, with respect to the consolidated financial statements and schedule of Triumph Group, Inc. and the effectiveness of internal control over financial reporting of Triumph Group, Inc. included in its Annual Report (Form 10-K) for the year ended March 31, 2018, filed with the Securities and Exchange Commission.

/s/ Ernst & Young LLP

Philadelphia, Pennsylvania

August 7, 2018