The fire broke out in the 22nd floor of the high-rise, fire brigade officials said.
"Our control room got a call at 6.40 am about the fire and eight fire engines and seven water tankers along with several jawans were pressed immediately into service and they reached the spot within nine minutes. Our jawans had controlled the fire by 9.20 am," said P S Rahangdale, Chief Fire Officer.
An Air India statement termed the fire as minor.
"There was a minor fire that broke out on the 22nd floor of Air India Building....Within minutes the fire was brought under control by AI security and fire marshals. There were no casualties or injuries....Air India's top management and experts are assessing the damage," it said.
The iconic building was AI's corporate headquarters till 2013, before the airliner launched its asset-monetisation drive and leased out a part of the building. However it retained the 21st, 22nd and 23rd floors.