The 30-share barometer which gained 30.44 points in the yesterday's trade, spurted by 110.98 points, or 0.60 per cent, to 18,647.99.
Similarly, the wide-based National Stock Exchange index, Nifty moved up by 30.70 points, or 0.54 per cent, to 5,666.60.
All sectoral indices led by metal and capital goods, traded in the positive zone with gains up to 0.85 per cent.
Brokers said continued buying by funds amid a firming trend in the Asian region after euro zone ministers and the IMF agreed to unlock 43.7 million euros (USD 56 billion) in loans to Greece and grant significant debt relief for decades to come, mainly influenced the trading sentiments.
In the Asian region, Hong Kong's Hang Seng index rose 0.41 per cent, while Japan's Nikkei up 0.38 per cent in early trade today.