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.
In the Asian region, Hong Kong’s Hang Seng index traded lower by 0.58 per cent and Japan’s Nikkei Index fell 0.50 per cent in early trade.