The small child sat on top of the giant reptile called Bubba as it walked around a room in front of onlookers.
Reports suggest the stunt came during a session designed to promote conservation through education.
In the clip, the girl sits on top of the fearsome creature as it is commanded to walk. At one point she gets off as the alligator lays down, but is encourage to resume her seat.
The video, which re-emerged recently but was shot in 2013, has caused controversy because of fears over the animal and child’s welfare.