MS Dhoni (L) and Kedar Jadhav. Photograph:( Reuters )
The win came after the Virat Kohli-led team defeated the hosts in the third and final one-day international by seven wickets.
India on Friday won their maiden bilateral One-day International (ODI) series against Australia down under on Friday.
The win came after the Virat Kohli-led team defeated the host in the third and final one-day international by seven wickets. India won the three-game series 2-1.
Chasing 231, MS Dhoni and Kedar Jadhav established a partnership of over 100 runs, with both scoring a half-century, to give India their historic win. Both the players remained unbeaten and contributed 87 and 61 respectively.
Earlier, skipper Virat Kohli fell four short of his half-century. He scored 46 in 62 balls which included just three boundaries before being dismissed by Jhye Richardson.
India lost opener Rohit Sharma early in the third and final ODI at the Melbourne cricket ground on Friday. Minutes later, Shikhar Dhawan and skipper Virat Kohli were also dismissed with India's India's reaching score reaching 113/3 at a point.
In bowling, spinner Yuzvendra Chahal displayed a fiery spell of bowling to clinch six wickets and restrict Australia for a mere 230 runs in the third and final ODI against India on Friday.
The legspinner picked up 6 for 42 and was well supported by Bhuvi and Shami, who picked two each.
Just when the hosts recovered from the early losses, Chahal clinched three wickets in quick intervals - of two set batsmen and another - to make India dominate the game.
Both Usman Khawaja and Shaun Marsh were dismissed off Chahal while trying to hit a shot. While Marsh was stumped by MS Dhoni, Khawaja caught and bowl by the bowler.
Marcus Stoinis was the third player to be dismissed by the right-arm leg spinner.
However, it was Peter Handscomb crucial 58 runs that helped Australia revive their inning. He too was dismissed by Chahal at a point when he was all set to take the game away from the Men in Blue.
Handscomb is also the highest scoring player with the bat as the rest nine failed to reach the fifty digit mark. Marsh contributed 39 runs and Khwaja made 34 before giving away their wickets.
Pacer Bhuvneshwar Kumar too struck twice after the rain break to dismiss Australian openers Alex Carey and Aaron Finch early. He also took a brilliant catch of Glenn Maxwell to hand Shami his first wicket of the game.
Apart from Kumar, Mohammed Shami also clinched two wickets and gave away 47 runs in his 9.4 overs bowled.