| Document and Entity Information | Feb. 03, 2021 |
| Document Information [Line Items] | |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Feb. 3, 2021 |
| Entity File Number | 1-12235 |
| Entity Registrant Name | TRIUMPH GROUP, INC. |
| Entity Central Index Key | 0001021162 |
| Entity Tax Identification Number | 51-0347963 |
| Entity Incorporation, State or Country Code | DE |
| Entity Address, Address Line One | 899 Cassatt Road |
| Entity Address, Address Line Two | Suite 210 |
| Entity Address, City or Town | Berwyn |
| Entity Address, State or Province | PA |
| Entity Address, Postal Zip Code | 19312 |
| City Area Code | 610 |
| Local Phone Number | 251-1000 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | false |
| Common Stock [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Common Stock, par value $.001 per share |
| Trading Symbol | TGI |
| Security Exchange Name | NYSE |
| Rights [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Purchase Rights |
| No Trading Symbol Flag | true |
| Security Exchange Name | NYSE |
