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Copper futures for April declined by Rs 2.75, or 0.70%, to Rs 391.85 per kg in 3,179 lots.
At the Multi Commodity Exchange (MCX), the June contract fell by Rs 2.45, or 0.61%, to Rs 398.60 per kg in 390 lots.
Prices fell as speculators trimmed their positions.
Weakening trend in the global markets on concern that demand from China, the biggest consumer, would weaken after the International Monetary Fund (IMF) cut its forecast put pressure on copper futures trade here.
IMF trimmed its forecast for China's 2013 growth to 8% from 8.2% after World Bank cut the forecast to 8.3% on April 15.
At the London Metal Exchange (LME) copper's inventories fell 0.6% to $7,260 tonnes.
