Zinc futures for May fell by 40, or 0.38%, to Rs 104.50 per kg in 34 lots.
At the Multi Commodity Exchange (MCX), the April contract fell by 35 paise, or 0.33%, to trade at Rs 104.55 per kg in 968 lots.
Prices fell due to subdued spot demand.
Weak trend in entire base metals in global markets, led to the fall in zinc futures prices here.