Officials said two suspects were searched for after the deadly shooting inside the CVS Pharmacy in Venice.
The shooting was reported at about 9:15 pm. On-site at 119 Lincoln Boulevard, according to the Los Angeles Police Department.
It is unclear what led to the fatal confrontation.
Two people were injured, one of whom died at the scene. Police said the remaining victim was conscious and breathing before being transferred to hospital in serious condition.
Officials described one of the suspects as a black man about 6 feet long and weighing about 200 pounds, wearing a blue shirt. He escaped from the scene on foot.
No description is available for the second suspect.