The 30-share barometer rose by 99.74 points, or 0.51 per cent, to 19,491.60.
All the sectoral indices, led by Auto, metal, consumer durable, capital goods, realty, oil and gas and power, were trading in the positive zone with gains of up to 0.58 per cent.
The wide-based National Stock Exchange index Nifty moved up by 10.05 points, or 0.16 per cent, to 5,927.75.
Brokers said continued buying by funds and retail investors after the ruling government's victory in Parliament over FDI in multi-brand retail sector.
Besides, a firming trend on other Asian bourses, too, triggered buying activity in the domestic market, they added.
In Asia, Hong Kong's Hang Seng rose by 0.10 per cent, while the Japan's Nikkei up by 0.87 per cent in early trade today. The US Dow Jones Industrial Average, however, ended 0.64 per cent lower yesterday.