At the Interbank Foreign Exchange Market, the rupee fell by 66 paise to 66.49 a doller in early trade.
A strong dollar demand from importers and banks, and heavy losses in domestic equity markets weighed on the local currency, forex dealers said.
The rupee dropped even as dollar weakened against other major global currencies overseas amid mounting global economic slowdown worries.
Meanwhile, the benchmark BSE Sensex tanked 1,006.54 points, or 3.67 per cent, to 26,359.53 in opening trade.