The 30-share index, which has gained 638.28 points over the past two sessions, rose further by 92.32 points, or 0.58 per cent, to 15,905.68 in opening trade today.
In a similar fashion, the wide-based National Stock Exchange Nifty index moved up by 29.60 points, or 0.62 per cent, to 4,763.45.
Capital goods, realty, banking, metal and oil and gas stocks accounted for the lion's share of the gains on the Sensex in opening trade today.
Brokers said sustained buying amid a firming trend in Asian markets in the wake of overnight gains in the US following the release of encouraging data on the jobs market buoyed the trading sentiment at home.
In addition, covering up of short positions by speculators in view of approaching monthly expiry in the derivatives segment on the NSE supported the upside, they said.
In Asia, Hong Kong's Hang Seng Index rose by 1.10 per cent. The Dow Jones Industrial Average ended 0.51 per cent higher in yesterday's trade. The stock market in Japan was closed.