Gautam Gambhir scored 56 and Brad Hogg took one wicket. India overhauled the victory target in 19.4 overs for the loss of two wickets.
Earlier Australia set India a target of 132 to clinch the T20 international. Aaron Finch top-scored for Australia with 36 followed by Matthew Wade 32. Australia were bowled out for 131 runs after winning the toss. Praveen Kumar with 2-21 was India's most impressive bowler.