| Cover | Feb. 10, 2023 |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Feb. 10, 2023 |
| Entity File Number | 001-41274 |
| Entity Registrant Name | Counter Press Acquisition Corporation |
| Entity Central Index Key | 0001873964 |
| Entity Incorporation, State or Country Code | E9 |
| Entity Address, Address Line One | 1981 Marcus Avenue |
| Entity Address, Address Line Two | Suite 227 |
| Entity Address, City or Town | Lake Success |
| Entity Address, State or Province | NY |
| Entity Address, Postal Zip Code | 11042 |
| City Area Code | (718) |
| Local Phone Number | 775-3013 |
| 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 |
| Entity Information, Former Legal or Registered Name | Not Applicable |
| Units, each consisting of one Class A ordinary share and one-half of one redeemable warrant | |
| Title of 12(b) Security | Units, each consisting of one Class A ordinary share and one-half of one redeemable warrant |
| Trading Symbol | CPAQU |
| Security Exchange Name | NASDAQ |
| Class A ordinary shares, par value $0.0001 per share | |
| Title of 12(b) Security | Class A ordinary shares, par value $0.0001 per share |
| Trading Symbol | CPAQ |
| Security Exchange Name | NASDAQ |
| Redeemable warrants, each warrant exercisable for one Class A ordinary share at an exercise price of $11.50 | |
| Title of 12(b) Security | Redeemable warrants, each warrant exercisable for one Class A ordinary share at an exercise price of $11.50 |
| Trading Symbol | CPAQW |
| Security Exchange Name | NASDAQ |
