It will be a follow on order to the deal India had signed with Boeing and the US government for 22 Apache helicopters and 15 Chinook heavy-lift choppers in September 2015.
The six 'AH-64-E' helicopters will come along with associated equipment, spares and weapons system, defence ministry sources said.
A meeting of the Defence Acquisition Council chaired by Defence Minister Arun Jaitley cleared the long-pending proposal to procure the attack helicopters for the Army which has been pressing for the choppers, the sources said.
After the government finalised the deal for 22 Apache helicopters for the Indian Air Force, the Army had been pushing for follow on orders of 11 choppers for it, arguing that the ground forces need them considering the changing security scenario in the region.
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However, the IAF was not in favour of the Army's proposal. Till now, the Army does not have any attack helicopter.
The Rs 4,168 crore deal will also include cost of weapons, ammunition, spares and associate equipment and training.
They said the proposal to procure the attack helicopters will have to be cleared by the cabinet committee on security before the deal could be inked.
Army sources said the attack helicopters, which are expected to be delivered by 2020, will significantly enhance armoured division and will strengthen the Army's capability to carry out combat operations in border areas.