Sent into bat, the Super Kings rode on Jadeja's 28-ball unbeaten 44 and Dhoni's 16-ball 35 to fight their way back into the match after the Scorchers stifled their batsmen.
Dhoni smashed Yasir Arafat for 27 runs with the help of three sixes in the penultimate over.
While the CSK skipper got out while going for another maximum in the final over, which also ended his 64-run sixth- wicket stand with Jadeja, the left-handed all-rounder hit a six and four to finish things off in style for the Super Kings.
Earlier, the Super Kings were off to a bad start losing Brendon McCullum with just 15 runs on the board, the batsman playing a Joel Paris delivery onto his stumps in the third over of the innings.
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Next to get out was the dangerous Suresh Raina, with batting partner Dwayne Smith playing a role in the left-hander's run out. Standing at the non striker's end, Raina made the call after Smith inside edged one to the third man, but the batsman did not respond. Raina could not beat Nathan Coulter-Nile's throw from the deep.
At 33 for three in the sixth over, CSK were in deep trouble and the experienced Brad Hogg only added to their woes when Mithun Manhas, who had come in for Ishwar Pandey, top edged for the deep midwicket fielder to complete a comfortable catch.
Not a regular in the starting XI, it was a good opportunity for the Delhi-based Manhas to impress, but he could only make 18 off 27 balls, getting out while trying to improve CSK's run rate.