Nine navy ships and three air force planes have been dispatched to search for the aircraft, which disappeared as it flew from the southern city of Myeik to Yangon.
There was conflicting information on the number of people on board, but in the latest update the military said the plane was carrying a total of 122 people.
More than half of the passengers were from military families, including 15 children, along with 35 soldiers and 14 crew members, the army chief's office said in a statement.
Fears are growing that the aircraft may have crashed into the Andaman Sea. It is monsoon season in Myanmar but there were no reports of stormy weather in the area at the time.
Sources told AFP that debris had been found in the sea off the coastal town of Dawei, which lies an hour's flight southeast of Yangon.
The commander-in-chief's office said the plane lost contact with air traffic control at 1:35 PM yesterday, about half an hour after takeoff.
The plane was bought in March 2016 and had a total of 809 flying hours.
Myanmar's military fleet has a chequered recent history of plane crashes.
A five-strong crew died when an air force plane burst into flames soon after taking off from the capital Naypyidaw in February last year.
Three army officers were also killed in June when their Mi-2 helicopter crashed into a hillside and burst into flames in south-central Bago.
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