Deron Bridgewater, 23, of Marrero, La., surrendered to authorities after his picture was shown on TV newscasts, WDSU-TV, New Orleans, reported.
Investigators believe two other men also were played roles in the Saturday night shooting, of which a private citizen's video was released Sunday.
Investigators said the shooting started about 9:30 p.m. after a verbal argument between two of the suspects and one of the victims, an 18-year-old youth. Police said the two suspects left only to return soon after with a third man who approached the 18-year-old and shot him three times in the stomach, leaving him in critical condition.
Three bystanders were wounded by the spray of bullets -- a 22-year-old woman hit in the chin and right foot, and a 21-year-old woman shot in the left leg and a 29-year-old man shot in the buttocks. They were hospitalized in stable condition and were later released.
Bridgewater had no previous history of criminal activity in the area, officials said.
Police identified another person of interest as a young man known as "Landon" and asked anyone with information on the shooting to call (504) 822-1111.