Copper futures for April fell by Rs 2.50, or 0.60% to Rs 414.90 per kg in 15,575 lots.
At the Multi Commodity Exchange (MCX), the June contract shed Rs 2.35, or 0.55% to Rs 421.25 per kg in 1,000 lots.
Prices fell as speculators offloaded their positions.
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Weak global trend triggered by concern that Europe's debt crisis is deepening mainly influenced copper futures trade.
On the London Metal Exchange (LME), copper fell 0.3% to $7,583 a tonne.