The long-pending proposal was cleared at a meeting of the Defence Acquisition Council (DAC), chaired by Defence Minister Nirmala Sitharaman, official sources said.
The sources said that 16 helicopters will be procured at a fly away condition while 95 will be manufactured in India.
The acquisition of the helicopters will be made under the strategic partnership model.
The cost of the project will be Rs 21,738 crore, the sources said.
In May, the government had unveiled the strategic partnership model under which select private firms will be roped in to build military platforms such as submarines and fighter jets in India in partnership with foreign entities.
The procurement of the helicopters will be the first major acquisition project under the new model.