Austin Reese, 37, was walking near South Parkway at about 8:48 p.m. when he was hit by a light colored 2003-2004 Pontiac Vibe, according to police.
Police said the driver, who they believe is a man, did not stop and sped off.
Surveillance video recovered from a nearby gas station shows the vehicle drive through the parking lot shortly after the crash.
Reese was pronounced dead at the scene, police said.
Anyone with information concerning the hit-and-run, the vehicle or the driver is urged to contact Fort Bend County Crime Stoppers at 281-342-TIPS.