Valued at Rs2bn ($29.4m), the order will cover the supply of 20 launchers and eight command posts to the Indian Army.
The weapon system is said to be the first 'Create in India' product designed and developed by the Indian private industry in association with Armament Research and Development Establishment of the Defence Research and Development Organisation (DRDO).
With a quick reaction time and rate of fire, the Pinaka MRLS supplements the existing artillery gun at ranges beyond 30km, Tata Power SED said in a statement.
Tata Power SED CEO Rahul Chaudhry said: “After the success of Pinaka, we remain committed to succeed in other weapon system development programmes with DRDO on which we are already working on."
The company had already delivered Pinaka launchers and command posts to the army between 2006 and 2010.
The MBRL was tested during the Kargil war in June 1999.
Designed to replace the army's BM-21 Grad multiple rocket launcher systems, the Pinaka features high-energy propulsion, sub-munition warheads, servo-controlled launcher configuration and a fire control computer.
Each Pinaka rocket is capable of carrying a 100kg payload over a 40km range.