Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

We consent to the incorporation by reference in the following Registration Statements:

1) Registration Statements (Form S-8 No. 333-36957 and Form S-8 No. 333-50056) pertaining to the 1996 Stock Option Plan of Triumph Group, Inc.,

2) Registration Statements (Form S-8 No. 333-81665 and Form S-8 No. 333-134861) pertaining to the Amended and Restated Directors’ Stock Incentive Plan of Triumph Group, Inc.,

3) Registration Statement (Form S-8 No. 333-125888) pertaining to the 2004 Stock Incentive Plan of Triumph Group, Inc.,

4) Registration Statement (Form S-8 No. 333-192537) pertaining to the 2013 Stock Purchase Plan of Triumph Group, Inc.,

5) Registration Statement (Form S-8 No. 333-192538) pertaining to the 2013 Equity and Cash Incentive Plan of Triumph Group, Inc.,

6) Registration Statement (Form S-8 No. 333-211676) pertaining to the Time-Based Restricted Stock Award Agreement of Triumph Group, Inc.,

7) Registration Statement (Form S-8 No. 333-219486) pertaining to the 2016 Directors’ Equity Compensation Plan of Triumph Group, Inc., and

8) Registration Statement (Form S-8 No. 333-226640) pertaining to the 2018 Equity Incentive Plan

of our reports dated May 23, 2019, 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 this Annual Report (Form 10-K) of Triumph Group, Inc. for the year ended March 31, 2019.

/s/ Ernst & Young LLP

Philadelphia, Pennsylvania

May 23, 2019