The healthy baby boy was born at 6:55 a.m. on Sunday.
He weighed 3.6 kg at birth.
The mother arrived at the new superhospital early in the morning, while staff were preparing to move patients from the Royal Victoria to the new facility.
"Even before the first patient got from the RVH to the Glen, as we were doing the kickoff meeting for volunteers and staff for the move, a woman in labour came in at 6:17 a.m.," MUHC spokesperson Richard Fahey said on Monday.
"At 6:55 a.m. (we had) a newborn baby."