The incident happened at the intersection of Sepulveda Boulevard and Lassen Street around 6 p.m. Monday.
Officials said the police cruiser was making a left turn onto Lassen Street when it was broadsided by another car.
Two officers inside the cruiser were hurt. One has a broken jaw and was admitted to the hospital.
The other was also hospitalized after suffering cuts on his face. He has since been released.
The driver of the other car involved in the crash was also injured but is expected to be OK.