At the Multi Commodity Exchange, silver for delivery in July fell by Rs 137, or 0.34 per cent, to Rs 40,640 per kg, in a business turnover of 702 lots.
Similarly, the white metal for delivery in far-month September was trading lower by Rs 118, or 0.29 per cent, to Rs 41,120 per kg in four lots.
Analysts attributed the fall in silver in futures trade to offloading of positions by participants in line with a weak trend overseas.