It happened around 9 p.m. on Wednesday night at the Kings Cove Apartments on 4920 Magnolia Cove Drive.
Police say a group of three men were gathered at one apartment with a woman when a fight broke out, and one of the men pulled out a gun and shot another man multiple times, police said. That man, identified only as a 29-year-old, was pronounced dead at the scene.
Witnesses told investigators that the suspect, who has yet to be identified, fled the scene on foot.
Anyone with information in this case is urged to contact the HPD Homicide Division at 713-308-3600 or Crime Stoppers at 713-222-TIPS.