Batting first, they made a modest start, with Suresh Raina (63) top-scoring. But captain MS Dhoni propelled them to a daunting total of 164 for three from their 20 overs courtesy of an explosive cameo of 45 runs from 16 balls.
In response the Warriors never really got going, with middle order dangermen Yuvraj Singh (0) and Luke Wright (2) departing cheaply to leave the chase at 54 for five.
Kane Richardson and Bhuvneshwar Kumar staged a fightback, but the required run rate slipped away from them, leaving them well short of their target.
The Chennai Super Kings, twice-winners of the IPL, are top of the table so far.