Terrance Uandra Watson, 33, was pronounced dead at the scene.
Police said they were called to the scene about a natural death, but when the arrived realized Watson had been stabbed.
Witnesses reported seeing Watson stumble and fall where he was found the night before.
The suspect is described as a black male with a medium complexion, 5’9″ and 160 pounds. He wears his hair in a large Afro hairstyle.
Anyone with information is urged to contact HPD Homicide at 713-308-3600 or Crime Stoppers at 713-222-TIPS.