The 30-share barometer, which had shed 10.77 points in the previous session on Friday, rose by 76.08 points, or 0.41 per cent, to 18,582.65, led by gains in stocks of IT, tech, metals and healtchare sectors.
Similarly, the wide-based National Stock Exchange index Nifty moved up by 10.80 points, or 0.19 per cent, to 5,637.40.
Brokers said fresh round of buying by major players largely in line with a firming trend in Asian markets boosted by sharp gains on the US markets, influenced trading sentiments.
Meanwhile, in Asia, Hong Kong's Hang Seng index rose 0.03 per cent, while Japan's Nikkei gained 1.06 per cent.
The US Dow Jones Industrial Average ended 1.35 per cent higher on Friday.