"There were 67 passengers and 4 crew members" aboard the plane, said airport spokesman Prem Nath Thakur.
A spokesman for the airport said: "We are trying to bring the fire under control".
According to an airport official, the US-Bangla Airlines plane appeared to catch fire just before it landed and skidded to a stop in a field beside the runway on Monday afternoon.
Further details of the crash are still awaited.
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Victims' bodies have been recovered from the wreckage, an official said. The aircraft took off from Dhaka and landed at the airport at 2:20 pm (local time). 7.
Television images showed smoke rising from the crash site.
An airport spokesperson told the paper that many casualties were feared.
The Bangladeshi carrier launched operations in July 2014 and operates Bombardier Inc and Boeing aircraft. Reports suggest the flight was a US-Bangla Airline's flight.