The airline also announced special promotional fares as low as Rs 6,999 to customers availing the offer.
The bookings under the 'Fly out to Singapore for free on round trip' scheme can be made from tomorrow to January 4 next year, Tigerair said in a release.
The travel, however, can be undertaken in two phases - from January 19, 2015 to March 31 and from July 6, 2015 to October 24, the airline said.
"We are pleased to introduce Tigerair to Axis Bank customers who might not have flown with us before with this attractive offer. This unique promotion provides another opportunity for our friends in India to travel to Singapore even more affordably," said Tigerair Singapore Managing Director Ho Yuen Sang.
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The no-frills carrier currently operates 36 weekly flights to Singapore from Bangalore, Chennai, Hyderabad, Kochi, Thiruvananthapuram and Tiruchirappalli.
Besides, Tigerair also connects to Bali, Bangkok, Hong Kong, Jakarta, Kuala Lumpur, Manila, Perth, Taipei via Singapore.