The broader Nifty too gained 81.55 points, or 0.85 per cent, to hit a new lifetime high of 9,591.30.
The 30-share index flared up by 284.27 points, or 0.92 per cent, to hit 31,034.30 at 1345 hrs.
The gauge had rallied 448.39 points in the previous session.
All the sectoral indices, led by metal, capital goods, auto and power, were trading in positive zone with gains of up to 3.53 per cent.
The benchmark BSE Sensex has risen nearly 26 per cent since the BJP-led NDA government came to power in May 2014.
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Firmness in the rupee against the dollar and fall in global crude oil prices also influenced trading sentiment, brokers said.
Creation of new positions by participants following the beginning of the June futures and options (F&O) series too added to the momentum, they added.
Prominent gainers among the 30 Sensex stocks were Tata Steel, Adani Ports, Reliance Industries, Asian Paints, Power Grid, Bharti Airtel, L&T, Infosys, HDFC Ltd, M&M, Hero MotoCorp, ICICI Bank, ITC Ltd, ONGC, Maruti Suzuki, Wipro and Coal India, gaining up to 5.99 per cent.
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