The Indian rupee appreciated by six paise to 62.44 against the US dollar in early trade at the Interbank Foreign Exchange market on selling of the US currency by exporters.
The rupee had gained 37 paise to end at 62.50 on Monday after global crude oil prices dropped following a nuclear deal between Iran and world powers.
Forex dealers said strength in other currencies against the Greenback overseas, after fresh figures showed pending US home sales slowed for the fifth straight month in October, also supported the rupee. They said, however, a lower opening in the domestic equity market capped the gains on Tuesday.
Meanwhile, the BSE Sensex fell by 66.06 points, or 0.32 per cent, to 20,539.02 in early trade on Tuesday.