Both the indices, Sensex and Nifty, recorded their biggest single-day gains in nearly two months.
Bulls took over as soon as the market reopened after a long gap, as weaker-than-expected US jobs data, released last week, reduced chances of a near-term US interest-rate hike.
A three-and-a-half year high in domestic services sector growth, led by new business orders amid improved market conditions, also perked up market momentum.
Among losers, TCS plunged by 1.17 per cent to Rs 2,484.05 and Coal India slipped by 1.11 per cent to Rs 328.80.
"Market is galloping due to continued global liquidity, revival in domestic MF inflows and expectation of strong earnings growth in H2FY17," said Vinod Nair, Head of Research at Geojit BNP Paribas Financial Services.
The Sensex resumed gap-up at 28,631.27 and shot-up to an high of 29,013.40 before closing at a nearly 17-month high of 28,631.27, showing a gain of 445.91 points or 1.56 per cent. It had closed at this level at 29,044.44 on April 13, 2015.
Second-line stocks also witnessed buying, lifting the mid-cap index by 1.84 per cent and small-cap by 0.95 per cent.
Rupee climbing to four-month highs against the dollar, as Urjit Patel begun his innings as the Reserve Bank Governor, too had a positive impact.
Overseas, European stock markets rose following gains in Asian equities as prospects for a US interest-rate increase this month remained subdued.
From Asia, Nikkei rose 0.26 per cent, Shanghai Composite edged up 0.61 per cent, Hang Seng surged 1.12 per cent while Kospi perked up 0.31 per cent.
while any surprise move by RBI to spur growth with a 50-bps cut will provide further push for the market," said Vinod Nair, Head of Research, Geojit BNP Paribas Financial Services.
"But absence of global investors in the market is reducing the bet for a structural recovery in the near term. This instability is likely to extend until any genesis of earnings recovery is visible."
The market breadth remained positive as 1,535 stocks ended higher, 1,129 closed lower while 148 ruled steady.
The total turnover on BSE came in at Rs 2,203.48 crore, higher than Rs 2,141.06 crore during the previous trading session.
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