At the Multi Commodity Exchange, crude palm oil for delivery in June eased by a Re, or 0.19 per cent, to Rs 508 per 10 kg, in a business turnover of 136 lots.
The oil for delivery in July fell by a similar margin to trade at Rs 507 per 10 kg in 257 lots.
Market analysts said besides profit-booking by speculators at prevailing higher levels, muted demand in the spot market mainly influenced crude palm oil prices.