At the Interbank Foreign Exchange, the local currency opened at a record low of 71.24 against a dollar, down from its previous close of 71.21, and weakened further to trade at a fresh low of 71.37, down 16 paise.
Forex dealers said besides strong demand for the American currency from importers, capital outflows too weighed on the domestic currency.
The dollar strengthened against some currencies overseas as investors bid up safe haven assets amid tensions over global trade and strains in emerging market currencies.
A sharp rally in global crude prices further dampened the overall trading sentiment.
Benchmark Brent crude oil was trading at USD 78.05 a barrel.
Meanwhile, the BSE Sensex fell by 7.60 points, or 0.01 per cent, to 38,304.92 points in early trade.
Foreign institutional investors (FIIs) sold shares worth a net of Rs 21.13 crore on Monday, as per provisional data.