ICICI Bank slipped by 1.72 per cent and HDFC Bank by 1.54 per cent as the stock also turned ex-dividend today.
The Sensex resumed slightly higher at 24,828.38 and moved in a range of 24,664.88 and 24,831.79 before quoting at 24,702.38 at 1000 hours, showing a loss of 103.45 points, or 0.42 per cent, from its last close.
The NSE 50-share Nifty also moved down by 26.95 points, or 0.36 per cent, to 7,375.30 at 1000 hours.
Asian stocks edged lower in their early trade today as investors await a European Central Bank policy decision later in the global day.
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Key benchmark indices in Indonesia, Singapore, Taiwan, Hong Kong and China were down 0.07 pct to 0.81 pct and Japan's Nikkei Average rose 0.05 pct.
HSBC/Markit's measure of the China service sector eased to 50.7 in May from April's 51.4, though that was still above the 50-point level that is supposed to separate growth from contraction.