According to Officer Eddie Torres, North Shepherd officers were dispatched to the 800 block of Little York Road in response to a shooting call.
Upon arrival, officers were met by Houston fire officials and discovered a man with a fatal gunshot wound. He was pronounced dead at the scene.
The man, believed to be a customer of a nearby store, allegedly got into an argument with another person, who was said to have pulled out a gun and shot the man, Torres said.
Police said that there was a clerk inside when the shooting occurred.
The suspect did flee the scene in a vehicle with an unknown description.
It is unclear of the relationship between the victim and the suspect, police said.
Police said they have a possible suspect and expect charges to be filed some time Thursday evening.
HPD said they do not have any information on the victim.