The 30-share barometer, which had gained 38.37 points in the previous session, rose further by 65.66 points, or 0.35 per cent, to 18,779.21, led by oil and gas, realty and power sectors stocks.
Similarly, the wide-based National Stock Exchange index Nifty moved up by 17.50 points, or 0.31 per cent, to 5,704.75.
Brokers said sustained buying by funds and retail investors amid a firm trend in the Asian region following overnight gains at the US market, mainly influenced the trading sentiment here.
Meanwhile, in the Asian region, Hong Kong's Hang Seng rose by 0.03 per cent, while the Japan's Nikkei by 0.94 per cent in early trade today.
The US Dow Jones Industrial Average ended 0.72 per cent higher in yesterday's trade.