Increased selling of the American currency by exporters and banks amid a higher opening in the domestic equity market lifted the domestic currency, dealers said.
The dollar weakened against world currencies overseas after the Federal Reserve policy statement highlighted a tepid inflation outlook fuelling speculation that it is unlikely to hike rates in September.
Hardening of interest rates in the US leads to flight of foreign capital from emerging markets due to better yields.
Yesterday, the rupee had ended marginally higher at 64.37 in a cautious trade on a day domestic equity markets scripted history.
Meanwhile, the benchmark BSE Sensex rose further by 150.88 points, or 0.46 per cent to trade at new high of 32,533.34 in opening trade.