"The helicopter was on a routine mission. It crashed near the helipad inside the army base as it was trying to land," Dipannita Dhar told AFP by telephone.
The Cheetah helicopters, commissioned by the Indian Air Force (IAF) in the Seventies, are multi-role aircrafts which are used mostly during high-altitude missions.
The IAF, which relies heavily on Russian-made equipment, has been blighted by a poor safety record.
In July, a Russian-built AN-32 military transport plane went missing over the Bay of Bengal with 29 people on board.
And in 2013, all 20 people on board a military helicopter were killed when it crashed in northern India.