The incident comes amid fresh debate over US gun controls, stoked by an incident last week where a gunman shot eight people dead and injured several others at a FedEx facility in Indianapolis before taking his own life.
Police personnel are seen near the scene in the aftermath of a drive-by shooting at a store in Shreveport. Reuters
In Sunday's Shreveport incident, four people were outside the store, in Hearne Avenue, while one person was inside the store when the shooting happened, according to the report.
Reuters was not immediately able to contact local police. The Shreveport mayor's office didn't immediately respond to Reuters' request for comment.
Eleven police units were at the scene of the incident, which happened around 9pm local time Sunday, the report said.