On the Multi Commodity Exchange, crude oil for delivery in July contracts shed Rs 32, or 0.81 per cent, to Rs 3,904 per barrel with a business volume of 19,935 lots.
Marketmen said fall in crude oil futures was mostly due to trimming of positions by traders in tandem with a weak trend overseas.
Meanwhile, West Texas Intermediate crude oil was trading down 1.13 per cent to $56.69, while Brent Crude, the international benchmark, fell 1.05 per cent to trade at $63.15 a barrel.