KNX radio says the victims are USC students, but LAPD Officer Sara Faden says she cannot confirm that report.
Investigators say a gunman shot the couple at about 1 a.m. Wednesday in the West Adams area.
The BMW was in the roadway, not at the curb, with blown out windows on both sides of the car
City News Service says the woman was slumped on the front passenger seat and the man was outside the BMW when officers arrived.
A witness reported seeing a suspect running away from the scene.
There are no arrests.
A message left for USC campus police wasn't immediately returned.