The 30-share barometer declined by 37.60 points, or 0.18 per cent, to trade at 21,227.58 points. The index had lost 24.31 points in the previous session.
IT, tech, banking and capital goods sector stocks led the fall.
The broad-based National Stock Exchange index Nifty shed 7.10 points, or 0.11 per cent, to 6,311.80 points.
Brokers said sustained selling by funds amid a weakening trend on other Asian bourses in tandem with overnight losses in the US markets, following disappointing corporate results and soft economic data, mainly dampened the trading sentiment.
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Stocks of IT services major Tata Consultancy Services fell by 3.28 per cent to Rs 2,274.20 despite posting better-than-expected growth of 50.3 per cent in consolidated net profit for the third quarter ended December 2013.
Among other Asian markets, Japan's Nikkei was down 0.69 per cent, while Hong Kong's Hang Seng shed 0.38 per cent in early trade.
The US Dow Jones Industrial Average ended 0.39 per cent lower in yesterday's trade.