In Image: Auckland Aces Azhar Mahmood, centre, celebrates with teammates after dismissing McCullum
After the early loss of Gambhir (5), Bisla (38) and McCullum recovered well for KKR and put up a 62-run partnership to hold the innings steady.
Bisla was caught by Kitchen off Ronnie Hira over long off in the ninth over. He struck six fours and a six in his 24-ball stay at the crease.
As things looked settling down in favour of the Kolkata team, Mahmood came up with a dream spell to break the backbone of KKR's middle-order.
KKR never recovered from the jolt and slumped to 98 for five in the 15th over.
Yusuf Pathan and Rajat Bhatia then added 29 runs for the unbeaten seventh-wicket partnership to provide some respectability to the score.