Chasing a modest 125, the Punjab outfit completed the task with seven balls to spare in a low-scoring game for their fifth straight win, at the Dubai International Stadium.
The KIXP bowlers set up the match with another disciplined performance, restricting the Bangalore side to 124 for eight.
Man of the Match Sandeep Sharma led with impressive figures of 3/15 while Rishi Dahwan (2/14) and Mitchell Johnson (2/19 ) chipped in with two wickets apiece. There was a wicket for Laxmypathi Balaji also.
After their famed batting line-up came a cropper, RCB bowlers tried to make a match of it by picking up a few wickets. That they got the wickets of Wriddhiman Saha and Glenn Maxwell, the man in red-hot form, were largely due to Mitchell Starc's brilliant catching in the deep.
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In the end however, the total did not prove to be enough for RCB as the in-form opposition secured full points after a bit of a wobble.
Skipper George Bailey remained not out on 16 while Dhawan, after a good outing with the ball, hit three crucial boundaries in his brisk unbeaten 23.
Needing 10 off 12 balls, Bailey guided a poor Aaron delivery towards fine-leg to take his side to brink of victory, before Dhawan completed the chase.