The 30-share barometer rose 123.17 points, or 0.44 per cent to 28,321.46. The gauge had gained 265.39 points in the previous session.
Axis Bank, Tata Steel, Bajaj Auto, HDFC Ltd, Sun Pharma, Coal India, Infosys, ICICI Bank, Wipro, ONGC, ITC Ltd, Tata Motors and Dr Reddy were major gainers that supported the index rally.
The NSE Nifty too gained 38.85 points or 0.45 per cent to trade at 8,562.65.
Brokers said continued buying by foreign funds and retail investors, tracking a firming trend at other Asian markets after the Greece's parliament approved the austerity plan buoyed trading sentiments.
Among other Asian markets, Japan's Nikkei was up by 0.55 per cent while Hong Kong's Hang Seng rose 0.12 per cent in early trade today.
The US Dow Jones Industrial Average, however, ended 0.02 per cent lower in yesterday.