Chief Minister Prithviraj Chavan made the announcement at a press conference after the weekly cabinet meeting here.
The two routes would be Automotive Chowk to Mihan and Prajapati Nagar to Lokmanya Nagar.
The project would be completed in six years.
Nagpur Improvement Trust (NIT), the local civic agency appointed as the nodal body for the project, had appointed Delhi Metro Rail Corporation as the consultant.
"The proposal has been now sent to the Centre for approval," the Chief Minister said.
The Centre and state government would fund 20 per cent each of the total cost, while NIT and NMC will provide five per cent of the funds each. The balance 50 per cent would be raised through loan and other resources, Chavan said.