The 30-share Sensex resumed higher at 27,439.06 and rose to an all-time high of 27,581.68 in opening deals before quoting 27,668.31 points at 1100 hours.
It showed a sharp gain of 321.98 points or, 1.17 per cent, from its last close.
The CNX 50-share Nifty also hardened by 97.70 points, or 1.19 per cent, to hit 8,266.90.
Major gainers were HDFC (1.56 per cent), ONGC (1.54 per cent), Tata Steel (1.50 per cent), Infosys (1.47 per cent), SBIN (1.24 per cent), Hero Honda (1.15 per cent), TCS (1.12 per cent), Wipro (1.06 per cent), Coal India (1.04 per cent) and Larsen (1.03 per cent).
In overseas markets, Asian stocks rose after US economic growth topped estimates and investors speculated that Japan's pension fund will boost equity holdings.
US stocks rallied yesterday as a report showed faster-than-estimated growth in gross domestic product, fuelling speculation that the economy is strong enough to withstand higher interest rates.
Key benchmark indices in South Korea, Hong Kong, Taiwan, Singapore, Japan and China were up 0.11-1.68 per cent.
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