At the Multi Commodity Exchange, copper for delivery in February declined by Rs 1.40, or 0.31 per cent, to Rs 455.05 per kg in business turnover of 3,178 lots.
Similarly, the metal for delivery in April shed Rs 1.30, or 0.28 per cent, to Rs 460 per kg in 86 lots.
Analysts attributed the fall in copper futures to speculators reducing holdings on sluggish demand from consuming industries in the spot market.
Meanwhile, copper for delivery in three months fell to USD 7,322 a tonne at the London Metal Exchange.