The officers were in an unmarked vehicle and responding to a call about a man with a knife at 24th and York streets around 1:42 a.m. They were traveling south on Potrero Avenue when their blue Ford sedan struck a light pole at the southeast side of the 19th Street intersection, said Sgt. Michael Andraychak.
The three uniformed men were taken to the hospital by ambulance with injuries not considered life-threatening, Andraychak said.
The police car sustained major damage while the pole remained upright.
San Francisco police Chief Greg Suhr and fire Chief Joanne Hayes-White responded to the incident and visited the officers in the hospital this morning, Andraychak said.
Potrero Avenue will remain closed between 18th and 21st streets until about 6 a.m. Muni and San Mateo County Transit bus lines may be affected by the temporary closure, Andraychak said.
The incident is being investigated by the department's Major Accident Investigation Team and the Hit-and-Run detail, which investigates collision involving serious injuries.
Sobriety is not considered a factor in the crash, Andraychak said, but the driver will undergo testing. An administrative investigation of the collision is also underway.
The cause of the collision has not been determined.