Surveillance video released by the Brooklyn District Attorney's office shows the patrol car striking the bicyclist on Jay Street in June.
Prosecutors say Officer Louis Ramos and his partner got out of the car, gave the bicyclist a tissue to wipe off blood, then left the scene.
The victim suffered broken hands, a broken nose, and cuts to his face.
Ramos is charged with assault, reckless driving and leaving the scene of an accident.
Officer Ramos is assigned to Transit District 30 and has 19 years with the NYPD. He is currently suspended.