The 30-share index rose 88.86 points or 0.31 per cent to 28,212.30. The gauge had gained 117.07 points in the previous session.
Also, the NSE Nifty was quoting 23.35 points or 0.26 per cent higher at 8,673.25.
All the sectoral indices, led by IT, teck and PSU were trading in the positive terrain with gains up to 0.77 per cent.
Brokers said sentiment remained positive on the back of persistent capital inflows by foreign funds and widening of positions by retail investors.
However, a weak trend in other Asian markets forced investors on the domestic bourses to keep their activity restricted, they added.
Among other Asian markets, Japan's Nikkei index was down 0.07 per cent while Hong Kong's Hang Seng index fell 0.27 per cent in morning trade.
The US Dow Jones Industrial Average ended 0.13 per cent up in yesterday's trade.