Flight AI 379 had landed, and the airport was proceeding with emergency plans, an official told Reuters.
Passengers were being evacuated from the plane, flight AI 379, in line with emergency plans, an Airports of Thailand official said.
The aircraft took off from Phuket airport for the Indian capital at 9:30am (0230) on Friday, but made a wide loop around the Andaman Sea and landed back at the Thai island, according to flight tracker Flightradar24.
It was later reported that authorities have not found any bomb inside the concerned Air India flight after the preliminary search.
There were 156 passengers on the flight, and the bomb threat was received on board the plane, it said in a statement.