The 30-share barometer, which had gained nearly 182 points in the previous three session, added another by 75.07 points, or 0.38 per cent, to 19,561.87.
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 1.08 per cent.
The wide-based National Stock Exchange index Nifty moved up by 18.95 points, or 0.31 per cent, to 5,949.85.
Brokers said the government was confident to pass through the retail FDI Bill in the Rajya Sabha today after ruling party's key ally BSP agreed to extend support.
They said a firming trend in Asian regions also supported the uptrend.
In Asia, Hong Kong's Hang Seng rose by 0.43 per cent, while the Japan's Nikkei up by 0.20 per cent in early trade today. The US Dow Jones Industrial Average, however, ended 0.30 per cent higher yesterday trade.
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