The broader NSE Nifty too went past the 10,200-level.
The 30-share Sensex was trading higher by 190.36 points, or 0.57 per cent, at 33,139.57, with all sectoral indices in the green, led by consumer durables, bank, metal and auto.
The gauge had rallied 352.03 points yesterday.
The NSE Nifty too rose 60.65 points, or 0.59 per cent, at 10,227.35 in early trade today.
Brokers said unabated buying by retail and domestic institutional investors and a firm trend in other Asian markets influenced sentiment here.
Japan's Nikkei was up 1.22 per cent while Hong Kong's Hang Seng rose 0.57 per cent in early trade today. Shanghai Composite, however, shed 0.08 per cent.
The US Dow Jones Industrial Average ended 0.29 per cent higher in yesterday's trade.
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