Officers responded to a person down call at about 6:15 p.m. Friday in the 5100 block of Richmond Avenue and found a man with multiple stab wounds.
The victim, whose identity has not been released, was transported to a hospital, where he died.
According to witnesses, the victim and another man were seen walking together to the business when their argument escalated into a physical fight in the parking lot.
Police say that's when the killer stabbed the victim and fled the scene.
Authorities only have a vague description of the suspect, saying it was a Black man with dreadlocks and that he was wearing a yellow, reflective traffic vest.
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.
Crime Stoppers may pay up to $5,000 for tips leading to an arrest or charges.