The 30-share barometer, which had lost 74.70 points in yesterday's session, fell by 93.91 points or 0.33 per cent to 27,635.76.
All the sectoral indices led by consumer durable, FMCG, and metal were trading in negative zone with losses up to 0.83 per cent.
Also, the NSE Nifty declined by 17.15 points or 0.21 per cent to 8,343.70.
Brokers said squaring-up of positions by participants as today being the last trading session of June series expiry in the derivatives segment and a weak trend at other Asian bourses following overnight losses at the US markets on renewed worries over Greek debt talks, dampened sentiments.
In Asian markets, Hong Kong's Hang Seng was down by 0.28 per cent, while Japan's Nikkei fell by 0.43 per cent in early trade today.
The Dow Jones Industrial Average ended 0.98 per cent lower in yesterday's trade.
