| Cover | Aug. 25, 2021 |
| Document Information [Line Items] | |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Aug. 25, 2021 |
| Entity File Number | 001-40147 |
| Entity Registrant Name | Roth CH Acquisition III Co. |
| Entity Central Index Key | 0001839412 |
| Entity Tax Identification Number | 83-3584928 |
| Entity Incorporation, State or Country Code | DE |
| Entity Address, Address Line One | 888 San Clemente Drive |
| Entity Address, Address Line Two | Suite 400 |
| Entity Address, City or Town | Newport Beach |
| Entity Address, State or Province | CA |
| Entity Address, Postal Zip Code | 92660 |
| City Area Code | 949 |
| Local Phone Number | 720-5700 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Elected Not To Use the Extended Transition Period | false |
| Common Stock [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Common Stock |
| Trading Symbol | ROCR |
| Security Exchange Name | NASDAQ |
| Warrants [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Warrants |
| Trading Symbol | ROCRW |
| Security Exchange Name | NASDAQ |
| Units [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Units |
| Trading Symbol | ROCRU |
| Security Exchange Name | NASDAQ |
