The SUV was in the parking lot of the apartment complex and after the victims were shot, the SUV rolled through the intersection, hitting some vehicles on the other side.
Investigators are still looking for witnesses who might be able to tell them exactly what led up to the shooting.
"We have one male and one female. The male is deceased here one scene, and the female was transported to the hospital," said Officer Mark Coleman with the Houston Police Department.
The male driver had been shot in the chest and died at the scene. A female passenger was shot in the head and is in critical condition.
Right now, police don't have a suspect or a motive. Authorities did not immediately release any information on the identities of the victims.