The military aircraft plunged into the sea during a routine flight from the southern city of Myeik to Yangon on June 7.
Most of its passengers were the wives and children of servicemen.
Navy vessels and fishing trawlers have so far recovered 92 bodies plus some pieces of plane debris from off the coast of the southern town of Dawei.
Last week a fishing boat snagged a piece of the Shaanxi Y8's tail.
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"The part of the tail of the Y-8 plane, which included the Flight Data Recorder and the Cockpit Voice Recorder, was successfully put on a ship in the afternoon," the office of the army chief said in a Facebook post, alongside photos of the bright orange recording units.
"After finding that part of the plane, we are now in the process of finding out why the plane crash happened," the statement added.
There has been no official explanation for the cause of the crash.
The Chinese-made aircraft was less than two years old and had only flown some 800 hours, according to the military.
Experts say black boxes explain the causes of nearly 90 per cent of plane crashes.
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