The 30-share barometer, which had gained 33.25 points in the previous choppy session, rose further 95.06 points, or 0.34 per cent, to 27,659.72.
Besides, value-buying in consumer durables, oil and gas, auto, technology, capital goods and power positively swayed trading sentiment.
Also, the NSE Nifty gained 27.40 points, or 0.33 per cent, to 8,362.00.
Brokers said that apart from the short covering as today is the last trading session of May expiry in the derivatives space, a firming trend at other Asian bourses following record closing at the US markets buoyed sentiment here.
Among other Asian markets, Hong Kong’s Hang Seng firmed up 0.29 per cent while Japan’s Nikkei turned higher by 0.57 per cent in early trade today.
The US Dow Jones Industrial Average ended 0.67 per cent higher in yesterday’s trade.
PTI