Mbacke's getaway was made possible in part because ICE agents had taken off his handcuffs before bringing him through airport security screening.
The Port Authority Police said the incident took place Tuesday night around 8:30 p.m.at Gate B23 in Terminal 4 while ICE agents were in the process of transferring him to another flight.
In September 2015, a immigration judge approved an order for Mbacke's deportation.
Mbacke was last seen wearing a black or purple shirt, jeans and sneakers.
He is described as being 6-foot-3 and weighing 190 pounds.
A law enforcement source told the newspaper that video captured the man jumping into a taxi and leaving the airport. He then bolted, Port Authority police said.
Port Authority police officers were notified of his escape at about 9:15 p.m., an agency police spokesman said. ICE along with state, federal and local authorities are now actively seeking his whereabouts.