On February 25, the vehicle hit crowds watching the Krewe of Endymion parade in the Mid-City district.
Police say one person was in custody on suspicion of driving while intoxicated and terrorism was not suspected.
The driver seemed unaware of what he had done, one eyewitness told local media.
“He was just kind of out of it,” Kourtney McKinnis told the New Orleans Advocate.
Police Chief Michael Harrison said 21 people were taken to hospital, five in serious condition, with another seven also injured.
A police officer was among the injured, he said.
Social clubs, known as Krewes, organize different parades in New Orleans during Mardi Gras.
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