The rupee rose 18 paise to 82.17 against the US dollar in early trade on Tuesday on easing crude oil prices.
Forex traders said sustained foreign fund outflows and a weak trend in domestic equities weighed on investor sentiments and restricted the appreciation bias.
At the interbank foreign exchange, the domestic unit opened at 82.20 against the dollar, then gained ground to touch 82.17, recording a rise of 18 paise over its previous close.
On Monday, the rupee settled at 82.35 against the US dollar.
Meanwhile, the dollar index rose 0.21 per cent to 103.21.
Brent crude futures fell 0.49 per cent to $79.26 per barrel.
BSE Sensex was trading 353.74 points or 0.58 per cent lower at 60,393.57 points. NSE Nifty fell 82.55 points or 0.46 per cent to 18,018.65 points.
Foreign Institutional Investors (FIIs) were net sellers in the capital market on Monday as they offloaded shares worth Rs 203.13 crore, according to exchange data.