Harris County deputies say the man was arguing with two other men along the 8500 block of Spring Green Drive near West Road.
According to detectives, the 21-year-old was being chased through the neighborhood when he was shot, collapsing near a fence of a house.
The reason they were arguing is unknown and the suspect got away. Deputies located narcotics and a pistol at the scene.
At this time, investigators are checking the neighborhood to see if anyone has cameras that might have recorded the shooting.