| Document And Entity Information | Jul. 24, 2024 |
| Document Information [Line Items] | |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Jul. 24, 2024 |
| Entity Registrant Name | Cue Biopharma, Inc. |
| Entity Central Index Key | 0001645460 |
| Entity Emerging Growth Company | false |
| Entity File Number | 001-38327 |
| Entity Incorporation, State or Country Code | DE |
| Entity Tax Identification Number | 47-3324577 |
| Entity Address, Address Line One | 40 Guest Street |
| Entity Address, City or Town | Boston |
| Entity Address, State or Province | MA |
| Entity Address, Postal Zip Code | 02135 |
| City Area Code | 617 |
| Local Phone Number | 949-2680 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Title of 12(b) Security | Common Stock, par value $0.001 per share |
| Trading Symbol | CUE |
| Security Exchange Name | NASDAQ |
