The 30-share index advanced 61.21 points, or 0.21 per cent, to 27,898.42, with consumer durables, capital goods, IT, PSU and technology sector stocks leading the rise.
The gauge had gained 191.68 points in the previous session.
On similar lines, the broader NSE Nifty moved up 23.10 points, 0.27 per cent, to 8,446.35.
Brokers said continued buying by foreign investors mainly influenced trading sentiment.
Besides, a mixed trend at other Asian bourses supported the rise on the domestic bourses.
In the Asian region, Japan's Nikkei moved up 0.46 per cent while Hong Kong's Hang Seng index slipped 0.15 per cent in early trade today.
The US Dow Jones Industrial Average ended 0.15 per cent lower in yesterday's trade.