Lt. Chris Lawler said officers found the victim near a car outside an apartment complex in the 10200 block of 47th Avenue SW.
The wounded man was taken to a hospital where he was pronounced dead.
Lawler said the shooting may have happened inside one of the apartments. Several people have been detained in connection with the killing, including the suspected shooter, he said.
Investigators are still trying to determine exactly what sparked the shooting, but Lawler said it may have been the result of a long-running dispute or a fight over a parking space.
The name of the man who was killed has not been released.