The 30-share barometer zoomed 424.99 points, or 1.50 per cent, to 28,726.26. The gauge had gained 145.71 points in the previous session.
Also, the NSE Nifty recaptured the key 8800-level by surging 91.60 points, or 1.04 per cent, to 8,869.60.
HDFC Bank skyrocketed 7.29 per cent to Rs 1,424.05 after RBI yesterday lifted restrictions on foreign investors for purchase of shares in the company.
RBI monitors the ceilings on FII, NRI, PIO investments in Indian companies on a daily basis and has fixed the cut-off 2 percentage points below the actual ceiling.
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Other big-time movers that supported the rally were HDFC Ltd, Axis Bank, Lupin, PowerGrid, Adani Ports, Tata Motors, ONGC, Cipla, GAIL, Bharti Airtel and L&T, advancing by up to 1.64 per cent.
Brokers said sustained buying by investors, along with foreign capital inflows amid sizeable purchases by domestic institutional investors, bolstered sentiment.
In the rest of Asia, Japan's Nikkei fell 0.57 per cent while Hong Kong's Hang Seng slumped 0.46 per cent in early trade today. Shanghai Composite was trading 0.24 per cent down.
The US Dow Jones Industrial Average, however, ended 0.04 per cent higher yesterday.