Thousands of fans danced to drum beats and cheered the team, which arrived at 10.30 PM, for their maiden IPL success after five seasons.
The state ministers welcomed the team members with bouquets and garlands on a makeshift stage near the VIP gate No 5, close to the international terminal of the airport in Dum Dum.
Team CEO Venky Mysore hailed Gambhir and coach Trevor Bayliss for the success.
"Gambhir has done a fantastic job as a leader so was our coach...I am proud of the team. Thank you Kolkata for all the support," he said.
The fans waited patiently for their triumphant team members to arrive as their flight was delayed by more than two hours.
A makeshift stage was erected just outside the gate to welcome KKR co-owner Shah Rukh Khan and players, who arrived in two batches.
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Slogans like 'Three cheers for KKR, hip hip hurrah', 'KKR. KKR', 'Shah Rukh. Shah Rukh' rent the air as fans dressed in KKR jersey and carrying purple flags gathered at the airport.
Many had come with lifesize posters of Shah Rukh Khan and team captain Gautam Gambhir. There were also posters with congratulatory messages.
There would be a grand felicitation of the team at the Eden Gardens tomorrow morning and the entry is free.