The 30-share index, which had gained 208.80 points in the previous session, fell 18.19 points, or 0.05 per cent, to 34,038.64 in early trade on Monday.
Technology, power and metal stocks were leading the fall in early trade.
The broad-based NSE Nifty was down 12.70 points, or 0.12 per cent, to 10,518.
Traders said profit-booking emerged in stocks that logged gains recently in absence of cues from other Asian markets that were closed for public holiday.
The US Dow Jones Industrial Average closed 0.48 per cent down on the final day of 2017 on Friday.