Exhibit 5.1

[Letter head of Skadden, Arps, Slate, Meagher & Flom LLP]

December 17, 2020

Triumph Group, Inc.

899 Cassatt Road, Suite 210

Berwyn, PA 19312

Re: Triumph Group, Inc.
Resale Prospectus Supplement

Ladies and Gentlemen:

We have acted as special United States counsel to Triumph Group, Inc., a Delaware corporation (the “Company”), in connection with the prospectus supplement (the “Prospectus Supplement”) filed on the date hereof by the Company with the Securities and Exchange Commission (the “Commission”) under the Securities Act of 1933 (the “Securities Act”) in connection with the registration statement on Form S-3 (the “Registration Statement”) filed on the date hereof by the Company with the Commission under the Securities Act. The Prospectus Supplement relates to the resale from time to time of up to 4,552,305 shares (the “Shares”) of common stock, par value $0.001 per share, of the Company to be sold by the selling shareholder named therein (the “Selling Shareholder”). We have been advised that the Shares were issued to the Selling Shareholder pursuant to the Contribution Agreement, dated as of December 11, 2019 (the “2019 Contribution Agreement”), by and between the Company and Newport Trust Company and the Contribution Agreement, dated as of December 17, 2020 (the “2020 Contribution Agreement” and, together with the 2019 Contribution Agreement, the “Contribution Agreements”), by and between the Company and Newport Trust Company.

This opinion is being furnished in accordance with the requirements of Item 601(b)(5) of Regulation S-K under the Securities Act.

In rendering the opinion stated herein, we have examined and relied upon the following:

(a) the Registration Statement;

(b) the Prospectus Supplement;

(b) executed copies of the Contribution Agreements;

(c) an executed copy of a certificate of Jennifer H. Allen, Secretary of the Company, dated the date hereof (the “Secretary’s Certificate”);

(d) a copy of the Company’s Amended and Restated Certificate of Incorporation in effect on December 11, 2019 and the date hereof, certified by the Secretary of State of the State of Delaware as of December 11, 2019 and December 17, 2020, and certified pursuant to the Secretary’s Certificate (the “Amended and Restated Certificate of Incorporation”);

(e) a copy of the Company’s Amended and Restated By-laws, as amended and in effect as of December 11, 2019 and the date hereof and certified pursuant to the Secretary’s Certificate (the “Amended and Restated By-laws”); and

(f) a copy of certain resolutions of the Board of Directors of the Company, adopted on December 2, 2019 and December 16, 2020, certified pursuant to the Secretary’s Certificate.

We have also examined originals or copies, certified or otherwise identified to our satisfaction, of such records of the Company and the Selling Shareholder and such agreements, certificates and receipts of public officials, certificates of officers or other representatives of the Company, the Selling Shareholder and others, and such other documents as we have deemed necessary or appropriate as a basis for the opinion stated below.

In our examination, we have assumed the genuineness of all signatures, including electronic signatures, the legal capacity and competency of all natural persons, the authenticity of all documents submitted to us as originals, the conformity to original documents of all documents submitted to us as facsimile, electronic, certified or photocopied copies, and the authenticity of the originals of such copies. As to any facts relevant to the opinion stated herein that we did not independently establish or verify, we have relied upon statements and representations of officers and other representatives of the Company and the Selling Shareholders and others and of public officials, including those in the Secretary’s Certificate and the factual representations and warranties set forth in the Contribution Agreements.

We do not express any opinion with respect to the laws of any jurisdiction other than the General Corporation Law of the State of Delaware (the “DGCL”).

Based upon the foregoing and subject to the qualifications and assumptions stated herein, we are of the opinion that:

The Shares being sold by the Selling Shareholder have been duly authorized by all requisite corporate action on the part of the Company under the DGCL and have been validly issued and are fully paid and nonassessable.

In addition, in rendering the foregoing opinion we have assumed that (i) the Company received the consideration for the Shares set forth in the Contribution Agreements and the applicable board resolutions, (ii) the issuance of the Shares has been registered in the

Company’s share registry and (iii) the issuance of the Shares did not violate or conflict with any agreement or instrument binding on the Company (except that we do not make this assumption with respect to the Amended and Certificate of Incorporation, the Amended and Restated By-laws or those agreements or instruments expressed to be governed by the laws of the State of New York which are listed in Part II of the Registration Statement or the Company’s Annual Report on Form 10-K for the year ended December 31, 2019).

We hereby consent to the filing of this opinion with the Commission as an exhibit to the Registration Statement. We also hereby consent to the reference to our firm under the heading “Legal Matters” in the Prospectus Supplement. In giving this consent, we do not thereby admit that we are within the category of persons whose consent is required under Section 7 of the Securities Act or the Rules and Regulations. This opinion is expressed as of the date hereof unless otherwise expressly stated, and we disclaim any undertaking to advise you of any subsequent changes in the facts stated or assumed herein or of any subsequent changes in applicable laws.

Very truly yours,

/s/ Skadden, Arps, Slate, Meagher & Flom LLP

MJZ