The 30-share barometer fell 109.65 points, or 0.52 per cent, to 20,778.68. The index had lost nearly 283 points in the past two sessions.
Stocks of metal, auto, realty, capital goods and banking sectors led the fall.
Similarly, the wide-based National Stock Exchange index Nifty fell by 21.40 points, or 0.34 per cent, to 6,199.75.
Brokers said sustained selling by funds and retail investors amid a weak trend in the Asian trade, following overnight losses on the US market as investors book profits following solid gains in 2013, dampened the trading sentiment here.
In the Asian region, Hong Kong's Hang Seng index shed 1.04 per cent in early trade, while Japan's Tokyo Stock Exchange is closed for a public holiday.
The US Dow Jones Industrial Average ended 0.82 per cent down in yesterday's trade.