"FIPB approval of the airline project between Tatas, AirAsia and Bhatias reflects the true investor friendly policies of the government," tweeted the Chairman Emeritus of Tata Sons.
"This and other similar actions will, without doubt, reinforce investor confidence in India," he said.
"I applaud the government for its transparency and its principled implementation of the stated policy," he added.
AirAsia has decided to set up a 49:30:21 joint venture with the Tata Sons and Telestra Tradeplace of Indian investor Arun Bhatia to launch a new Indian airline.
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The new venture will mark the return of the Tatas to the aviation sector. State-owned Air India had grown out of Tata Airlines, which began flights in 1932.
A senior government official said the initial investment by the AirAsia-led joint venture would be Rs 80 crore.
With the FIPB clearance, the AirAsia joint venture will now have to approach aviation regulator Directorate General of Civil Aviation for further clearances and a scheduled air operator's permit which allows an airline to undertake flying operations.
The AirAsia joint venture will be the first entry of a foreign carrier in the domestic aviation sector after the liberalisation of FDI policy in September last year.