Value buying in the wake of steep losses in the previous five days and heightened hopes of long-pending tax reforms finally rolling out also helped the stock indices to surge.
The Cabinet yesterday had cleared the Constitutional Amendment Bill on GST, clearing the way for its introduction in the ongoing session of Parliament.
Stability in Russian currency was also a boost to global markets which in turn helped local bourses, traders said.
It finally concluded at 27,126.57, showing a rise of 416.44 points 1.56 per cent.
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In the previous five sessions, the barometer had lost 1,120.97 points or 4.03 per cent.
Across-the-board buying saw all 12 sectoral indices closing higher in the range of by 1.09-5.26 per cent, with consumer durable, power, capital goods, realty, bankex, auto and metal taking the lead.
Of 30 Sensex stocks, 27 finished with gains while three others were losers. BHEL at 4.91 per cent was the biggest Sensex gainer, followed by Hindalco 4.31 at per cent, Gail India 4.19 per cent, Maruti Suzuki 3.91 per cent, NTPC 3.83 per cent, ICICI Bank 3.82 per cent.
Fed Chair Janet Yellen said Fed is unlikely to start its rate hike process for "at least the next couple of meetings." Federal Reserve retained the phrase "considerable time" in its policy statement and also introduced another word "patient", he added.