After successful the toss and slecting to bat, Australia done 269-8, led by half-centuries by debutant Peter Forrest 66 runs and David Hussey 72 runs.
In response,India created their best ever run pursue at the ground to score 270-6 from 49.4 overs.
Opener Gautam Gambhir laid the groundwork with 92 before being decided leg before wicket to Clint McKay.
In a tense run chase,India required 12 from the last 4 balls from McKay, but skipper M.S. Dhoni, with 44 not out, lifted them to win with 2 balls to extra.
McKay ended with 3 wkts for 53 runs forAustralia to be the top of the bowlers.
Indian champion Sachin Tendulkar was deprived of another opportunity to lastly post his longed-for 100th international century, when he was rested from the match under his team’s contentious rotation policy for their openers.
Australia269-8 from 50 overs;
India270-6 from 49.4 overs