Tendulkar (53 not out) added a half century to his first innings double ton and capitalised on the foundation laid by debutant Cheteshwar Pujara (72) as India easily surpassed the target of 207 in the final session of the last day here.
Tendulkar hit the winning runs, a two, off Nathan Hauritz half-an-hour into the final session to trigger wild celebrations at the Indian camp and among the Chinnaswamy Stadium crowd.
Rahul Dravid remained unbeaten on 21 and shared 61 runs with Tendulkar from 16 overs for the unbroken fourth wicket.
With the back-to-back victories, having won the first Test at Mohali by a narrow one wicket, India took the two-match series 2-0 though the Border-Gavaskar Trophy had already been in their bag.
Image: India's Sachin Tendulkar and teammate Rahul Dravid, left, celebrate their win as they walk back to the pavilion on the last day of their second Test match against Australia, in Bangalore. First innings double centurionTendulkar scored the winning runs in India's seven-wicket victory.