The 30-share barometer, which had gained 179.75 points in the previous session on Friday, rose by 41.10 points, or 0.20 per cent, to 20,144.63, with realty, banking and auto sector stocks leading the rise.
Similarly, the wide-based National Stock Exchange index Nifty gained 9.40 points, or 0.15 per cent, to 6,084.05.
Brokers said increased buying by funds on hopes that the RBI may announce a rate cut in its monetary policy review tomorrow, influenced the trading sentiments.
Besides, better-than-expected quarterly earnings by Maruti and Reliance Power and a firming trend in the Asian region also had a positive impact, they said.
Meanwhile, in Asia, Japan's Nikkei was up by 0.70 per cent, while Hong Kong's Hang Seng gained 0.35 per cent.The US Dow Jones Industrial Average ended 0.51 per cent higher on Friday.
