At the interbank foreign exchange market, the local unit opened at 83.64, and touched an intra-day high of 83.60 and a low of 83.66 against the dollar during the trading session.
It finally settled at an all-time low level of 83.66 (provisional) against the American currency, registering a loss of 3 paise from its previous close.
On Thursday, the rupee depreciated 5 paise and settled at a new low of 83.63 against the US dollar.
"We expect the rupee to trade with a slight negative bias on weak global markets and a strength in the US Dollar. Weak Asian and European currencies may also weigh on the rupee," Anuj Choudhary — Research Analyst at Sharekhan by BNP Paribas — said.
Choudhary said Foreign Institutional Investors (FIIs) inflows and any intervention by the RBI may support the rupee at lower levels. "USDINR spot price is expected to trade in a range of Rs 83.40 to Rs 83.90," he said.
Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was trading higher by 0.16 per cent at 104.33.
Brent crude futures, the global oil benchmark, were trading marginally lower by 0.07 per cent at USD 85.05 per barrel.
In the domestic equity market, the 30-share BSE Sensex tumbled 738.81 points to settle at 80,604.65 and Nifty dropped 269.95 points to 24,530.90.
Meanwhile, the Asian currencies were all down after a fall in European currencies as the European Central Bank (ECB) kept rates unchanged in its meeting with a possibility of a cut in September, traders said.
FIIs were net buyers in the capital markets on Thursday as they purchased shares worth Rs 5,483.63 crore, according to exchange data.