The shooting occurred at 1:22 pm local time near the food court at the Mall of Louisiana in Baton Rouge, city police said, NBC News reported.
Five suspects were taken into custody, Baton Rouge Police Chief Thomas Morse Jr. said. They have not been arrested but are being detained and interviewed, he said.
“This was not a random act. This was a disagreement, a fight between two different groups of people that we are still trying to unravel,” Morse said. “And unfortunately, innocent victims got caught in the crossfire.”
Of the five injured, one person was in critical condition Wednesday evening, police said. Others had minor injuries.
None of the victims are suspects in the shooting, police said.
It is believed that handguns were used in the shooting and one handgun was recovered, Morse said.
Police initially said that 10 people were injured, but later revised that to one dead and five injured.
Police did not release more information Thursday about the person killed or those hurt, including their ages.
Three of the victims are high school seniors, Lafayette Parish Mayor-President Monique Blanco Boulet said.
The Mall of Louisiana was closed after the shooting.
“We are heart broken and angered that our shopping center was the location for today’s horrific incident,” the mall said in a statement.
The shooting happened about 250 miles from Shreveport, where eight children were killed on Sunday.
Seven of those young victims were the children of suspect Shamar Elkins, 31, who was killed in a confrontation with police after he carjacked a person at gunpoint, officials said.