Subramaniam Badrinath’s half century helped guide the Super Kings to a seven-wicket victory over the Royals in Kimberley.
Needing 141 for victory, Chennai took their time in a well-paced run chase losing just three wickets on their way to what was in the end a comfortable win.
Matthew Hayden laid the foundation with a composed 48 off just 44 balls and it was left to Badrinath to finish it off the chase with a quick-fire 59* off just 41 deliveries.
Bowling first the Super Kings, led by Muttiah Muralitharan, were disciplined and put the shackles on the Royals from the moment Albie Morkel struck in his first over.
Chennai made a habit of grabbing wickets at critical times in the innings, stifling the Royals and keeping them from building any sort of momentum.
Graeme Smith top scored with 30, but while he and Swapnil Asnodkar both got going, neither of them were able to kick on and in the end it was left to skipper Shane Warne to help the defending champs to a respectable total with a cameo 21 off just 11 deliveries.
The win sees Chennai go top of the points table with just four more games remaining while Rajasthan stay third with five wins from 10 games.
Rajasthan 140-7 (20 overs)
Graeme Smith 30, Ravindra Jadeja 27, Muttiah Muralitharan 2-22.
Chennai 141-3 (18.2 overs)
Matthew Hayden 48, Subramaniam Badrinath 59*.
For a full scorecard click here.
Chennai won by 7 wickets.