Law enforcement officers who searched the truck after killing the driver found Bouhlel's identity card in the cargo compartment, Nice-Matin reported, citing police.
Mohamed Lahouaiej Bouhlel, 31, is reportedly a father of the three-year-old child, the media reported. Earlier in the day, police raided the house of the driver. The potential radicalization of the man had gone unnoticed by police.
The white truck that was used to carry out the deadly Nice attack was rented a few days before the Thursday night attack, according to earlier reports.
On Thursday evening, a heavy truck hit a crowd celebrating the Bastille Day in southern France, killing 84 revellers and wounding dozens more. President Francois Hollande said it was of a "terrorist nature." The driver was shot dead by police. Heavy weapons and grenades were found inside the truck.
French President Francois Hollande addressed the nation after holding an emergency meeting with his cabinet.
However, no terrorist organization has claimed responsibility for the attack so far.
France has been plagued by terrorist attacks in recent months, including a deadly shooting at the office of the Charlie Hebdo magazine and the hostage crisis at a kosher supermarket in Paris on January 7-9, 2015, as well as coordinated shootings and bombings at the Bataclan theatre, the Stade de France stadium and other location in the French capital on November 13, 2015.