India beat Australia by 137 runs to take an unassailable 2-1 lead in the four-Test series here on Sunday.
Chasing a stiff target of 399, Australia were all out for 261 in the post-lunch session after the first session was washed out due to intermittent showers.
India needed 4.3 overs to take the final two wickets as Jasprit Bumrah (3/53) finished with a match-haul of 9 for 86. Ishant Sharma (2/40) took the final wicket of Nathan Lyon as India won their 150th Test match.
Ravindra Jadeja (3/82) and Mohammed Shami (2/71) also provided able support as Pat Cummins' (63) was the highest score for Australia in either of the innings.
After the historic win, cricket fraternity and fans hailed Team India for their efforts at Australian soil.
Great Sachin Tendulkar congratulates the team and praised Jasprit Bumrah for his excellent bowling spell. He tweeted, "Incredible effort by #TeamIndia to take a 2-1 lead, especially @Jaspritbumrah93 who has played an instrumental role in this win. He has gone from strength to strength in all formats of the game. Definitely one of the best in the world today. #INDvAUS"