Forex dealers said the dollar's weakness against euro and other currencies overseas after the Fed disappointed some who had hoped for a clearer signal on the timing of an interest rate increase supported the rupee.
The US Fed kept its near-zero benchmark interest rate unchanged.
Further, a higher opening of the domestic equity market influenced the uptrend in the rupee, they added.
The rupee had closed 14 paise higher at 64.12 against the dollar yesterday on fresh selling of the greenback by exporters amid weakness of the American currency in overseas markets.