Irfan Pathan with three for 24 from his 3.4 overs was pick of the Kings bowlers while leg-spinner Piyush Chawla was impressive in his two-wicket haul for miserly 16 on the slow Kotla track.
The loss has placed Daredevils in the third place with 12 points from 11 matches.
Needing a small total for a win, Kings XI sent Irfan Pathan along with Mahela Jayawardene to open the innings. The two rustled up 41 runs before Pathan (12) swung Amit Mishra (1-15) to Rajat Bhatia at the deep midwicket boundary.
Jayawardene, who played a quick 35-ball 38 with four fours and a six, departed four overs later when he top edged while attempting to sweep Paul Collingwood and Ashish Nehra, who was playing his first IPL match this season after coming back from an rib injury, took the catch at short fine leg.
Skipper Kumar Sangakkara (33) and Yuvraj Singh (21 not out) did the rest though the former became second victim of Collingwood (2-19) when the Punjab team needed two runs to win from 13 balls. Sangakkara's knock came off 30 balls with four fours. Yuvraj's innings came in 25 balls with two fours and a six.
In Image: Yuvraj Singh of the Kings XI goes for a lofted shot