The officer shot the driver of a suspected stolen car after the suspected thief drove forward and struck him.
Authorities were at the scene for hours after the shooting which occurred on Wednesday afternoon.
This was the third officer-involved shooting in San Jose this month.
"A certain fear for his safety, discharged his firearm, striking the driver at least once. The passenger did sustain an injury, unknown whether or not that's as a result of the gunfire," said Ofc. Albert Morales of the San Jose Police Department.
The officer who was hit is in good health and on paid administrative leave, while the suspect and her passenger remain in the hospital.