The 30-share barometer, which had lost nearly 345 points in the previous two sessions, fell further by 15.48 points, or 0.07 per cent, to 20,879.46.
Stocks of consumer durables, capital goods, realty and bank sectors were the major losers.
Similarly, the National Stock Exchange index Nifty declined by 0.90 point, or 0.01 per cent, to 6,214.25 points.
Brokers said sustained selling by funds at prevailing levels amid a weak trend in Asian region, as investors await the release of US data on jobs and economic growth, mainly influenced the trading sentiment here.
The US Dow Jones Industrial Average ended 0.82 per cent higher in yesterday's trade.