| Document and Entity Information | Mar. 20, 2024 |
| Cover [Abstract] | |
| Amendment Flag | false |
| Entity Central Index Key | 0001563880 |
| Document Type | 8-K |
| Document Period End Date | Mar. 20, 2024 |
| Entity Registrant Name | Trevi Therapeutics, Inc. |
| Entity Incorporation, State or Country Code | DE |
| Entity File Number | 001-38886 |
| Entity Tax Identification Number | 45-0834299 |
| Entity Address, Address Line One | 195 Church Street |
| Entity Address, Address Line Two | 16th Floor |
| Entity Address, City or Town | New Haven |
| Entity Address, State or Province | CT |
| Entity Address, Postal Zip Code | 06510 |
| City Area Code | (203) |
| Local Phone Number | 304-2499 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Security 12b Title | Common stock, $0.001 par value per share |
| Trading Symbol | TRVI |
| Security Exchange Name | NASDAQ |
| Entity Emerging Growth Company | true |
| Entity Ex Transition Period | true |
