 Costantino was born in March 18, 1952 in Rio Cuarto, where his father was the mayor and his mother a dancer.Costantino is a veteran of the 1982 Falklands War (), where he fought as an A-4C Skyhawk pilot  although his only two missions were aborted (one because a VHF radio problem and the other an aerial refueling failure from the KC-130 Hercules) 

In November 2006, he was appointed as the overall commander of the Air Force following Eduardo Schiaffino's dismissal by the senior Argentine political leadership.In July 2013, he was replaced by Mario Miguel Callejo.