The 30-share barometer, which had gained 42.80 points yesterday, rose by 102.67 points, or 0.53 per cent, to 19,450.79.
All the sectoral indices, led by metal, realty, oil and gas and capital goods, were trading in the positive zone with gains of up to 1.13 per cent.
The wide-based National Stock Exchange index Nifty moved up by 28.45 points, or 0.48 per cent, to 5,917.70.
Brokers said continued buying by funds and retail investors ahead of a voting in Parliament on allowing foreign direct investment (FDI) in multi-brand retail mainly buoyed the trading sentiment.
Besides, a firming trend on other Asian bourses, too, trigered buying activity in the domestic market, they added.
In Asia, Hong Kong's Hang Seng rose by 1.21 per cent, while the Japan's Nikkei by 0.86 per cent in early trade today.
The US Dow Jones Industrial Average, however, ended 0.11 per cent lower yesterday.