The incident happened on the 500 block of West Slauson Avenue at about 10:15 p.m. Tuesday.
Officers say an unknown number of suspects in a black Chevrolet Impala pulled up to the victims' car and opened fire. The women were taken to an area hospital in stable condition.
A third person in the car was not hurt. It remains unclear whether the victims knew the suspect or suspects. So far, no one has been arrested.