The 30-share barometer, which rose 298.67 points in the previous session, gained 70.59 points, or 0.24 per cent, to 28,806.97 in early trade.
On similar lines, the National Stock Exchange index Nifty rose 23.95 points, or 0.27 per cent, at 8,747.25.
Brokers said selective buying by funds and retailers amid a mixed trend at other Asian markets ahead of a policy announcement by the US Federal Reserve influenced trading sentiments.
The US Dow Jones Industrial Average ended 0.71 per cent lower in yesterday's trade.