A BA spokesman told MailOnline: "We are taking this matter very seriously and are investigating."
Mr Glover's LinkedIn profile says he has longhaul and shorthaul experience, on B737-200/400, B747-100/200, B747-400, B757, B767, and B777-200/300 aircraft, and it is the photographs appear to be taken in a 777.
The photos are the latest in a number of serious incidents to plague BA in recent years.
They come just months after two British Airways pilots were placed under investigation after allegedly getting into a bar room brawl.
Senior first officer Sean Murphy, 39, and pilot Paul Lytollis, 43, were enjoying an evening out at a bar in Houston, Texas, with other staff during a stopover when they reportedly came to blows.
And last year Matthew Underwood, a worker who delayed a flight for passengers who were running late has been suspended amid allegations he was taking backhanders from celebrities and rich businessmen.
A drunken cabin crew ran amok while off-duty on a flight sparking angry complaints from passengers in 2013.
Stewards and stewardesses were seen downing bottles of champagne and red wine in front of stunned onlookers in First and Club premium cabins on a flight from London to Washington.
Passengers said the BA staff began screaming and shouting "like spoiled brats". Some reported them kissing and "heavy petting".