It was Super Kings' first win after four consecutive defeats and only their third success in eight outings while the Bangalore team slid to their third loss in seven games.
Opener Jacques Kallis (52) powered Royal Challengers to 161 for four in their 20 overs after opting to bat first on winning the toss, while Super Kings, buoyed by the fine start that Vijay provided, made 166 for five.
Vijay's innings set up the Super Kings' chase as he dominated the first-wicket partnership of 61 with a rather subdued Matthew Hayden (12) and went on to play a classical innings that was filled with authentic strokes.
Vijay, later adjudged Man of the Match, provided the early momentum by carving 24 runs off seamer Praveen Kumar in the third over of the innings and kept going in the same vein until his dismissal. But by that time, the pressure of the chase had eased off on the other Super Kings batsmen.Image:Murali Vijay made a blistering 78 to give Chennai the ideal platform