When officers arrived at the complex at 2851 Wallingford Drive around 12:45 a.m., they found an unresponsive man in one of the bedrooms.
Firefighters pronounced the man dead at the scene. The man did have at least one gunshot wound and witnesses did report hearing gunfire.
Investigators believe the man does not live at the apartment complex, but was visiting a friend.
Police are investigating and currently questioning witnesses. There is no known suspect description or motive in the shooting at this time.
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.