It is the biggest single-day gain in over a month for the Sensex.
Sentiment moved many notches higher following a rally in global equities as investors cheered a strong US jobs report while a landslide victory for Japan's ruling coalition in weekend elections boosted stimulus hopes.
Investor focus now shifts to the first leg of corporate earnings. TCS and Infosys are slated to come out with their results on Thursday and Friday, respectively.
After starting higher, the Sensex ended at an 11-month high of 27,626.69, up 499.79 points, or 1.84 per cent -- its biggest single-day gain since May 25 when it had risen 575.70 points.
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Today's closing is highest since August 19 last year when it ended at 27,931.64.
The 50-share NSE Nifty recaptured the 8,400-mark before closing at 8,467.90, gain of 144.70 points, or 1.74 per cent.
"Positive US jobs data and expectations of a good start to the first quarter earnings season helped the market rally," said Vinod Nair, Head of Research, Geojit BNP Paribas Financial Services.
Most other Asian markets closed on a strong footing following a strong weekend rally in the US.
Japan's Nikkei remained at the forefront, jumping 3.98 per cent, followed by Hong Kong's 1.54 per cent, Singapore's 0.97 per cent and the Shanghai Composite's 0.23 per cent.
European bourses are too trading firmly higher, with Frankfurt' DAX up 1.20 per cent, Paris CAC 0.70 per cent and UK's FTSE 0.70 per cent.
The domination was near complete, as 29 scrips out of 30-share Sensex pack ended higher while Axis Bank lost.
Adani Ports was the top gainer by rising 4.78 per cent. Tata Motors went up 4.15 per cent after the company's Jaguar Land Rover reported 22 per cent jump in global retail sales in first half the year.
So did ICICI Bank (3.44 per cent), SBI (2.84 per cent), Maruti Suzuki (2.84 per cent), Coal India (2.84 per cent), Tata Steel (2.72 per cent) and Hero MotoCorp (2.52 per cent).
Global rating agency Moody's today said the UK's
decision to leave the European Union is unlikely to impact Asia-Pacific sovereigns, but external dependence may pose vulnerability for some. This was lapped up by investors as well, traders added.
The market breadth remained strong as 1,718 stocks advanced, 1,040 declined and 187 ruled steady.
Total turnover rose to Rs 3,286.93 crore, from Rs 3,131.31 crore last Friday.