The Sensex, which had recorded a handsome gain of 626.53 points in the previous four sessions, added another 124.72 points, or 0.58 per cent to trade at 21,321.53 in the first five minutes of trade.
The index had climbed to an all-time high of 21,293.88 in intra-day trade on November 1 but closed at 21,196.81.
The broad-based National Stock Exchange index Nifty also rose by 29.75 points, or 0.47 per cent to 6,336.95, led by stocks of consumer durables, realty and healthcare shares.
Brokers said the buying activity picked up in select stocks as investors and funds opened their new accounts on the first session of Samvat year 2070. The Sensex gained 13.5 per cent in Samvat 2069.
The share market has remained in a positive mood in the past few sessions amid continued foreign fund buying and renewed optimism about a turnaround in the economy.
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