Weaker-than-expected US jobs figures failed to dent the dollar's allure as traders and investors bet on further gains in US rates following 12 consecutive quarter-point rate increases by the Federal Reserve since the middle of 2004.
Expectations of higher US rates, which would make US yields more attractive to investors compared with those in Europe and Japan, drove the dollar to a 26-month high of 118.38 yen although it fell to 117.70 in late Asian trade.
The euro fell to an 18-month low of $1.1783 before ticking up to $1.1830.
The rupee dropped as much as 0.6 percent to 45.76 per dollar.
IDEAglobal said in a report that the absence of the Reserve Bank of India (RBI) from the currency markets had contributed to the dollar's gains against the Indian currency.
"However, we would think that in light of the scale of the recent moves, RBI's presence should soon be felt" to slow the dollar's rise, IDEAglobal said.
It said the central bank could intervene if the rupee fell to 45.75 per dollar. The Thai baht edged down to its weakest level in almost four weeks, touching a low of 41.04 per dollar.
Traders said the baht was tracking regional currency weakness against the dollar despite strong flows into the local stock market and rising domestic interest rates.
The central bank was reluctant to let the currency strengthen against regional currencies so that local exporters did not lose competitiveness, traders said.
"The whole of last week the baht could not break below 40.75 because the Bank of Thailand kept buying US dollars," said a Bangkok-based currency dealer.
"The central bank thought that the baht was too strong because regional currencies are weakening against the dollar."
After Monday's moves, the next support for the baht was at 41.05 per dollar, followed by 41.25, he said.
The South Korean won lost as much as 0.4 percent to a two-week low of 1,052.0 per dollar. The South Korean currency also lost ground against the yen after touching a seven-year high of about 8.8448 won per yen on Friday.
The Singapore dollar traded weaker than 1.7 per dollar for the second consecutive day after hitting a four-month low of about 1.7026 per dollar on Friday.
The Taiwan dollar traded as low as 33.746, hovering close to its one-year low of 33.80 hit on October 24.
HSBC strategist Richard Yetsenga said the Taiwan currency was set to resume its decline against the US dollar as a growing interest rate differential compared with the United States could lead to a flight of capital away from Taiwan.
The Taiwan dollar has lost more than 6 percent against the US dollar since the end of June, making it the worst-performing Asian currency in that period as foreign investors sold local stocks because of a weak earnings outlook.
Yetsenga said the equity outflows were likely to subside as local stocks became cheap compared with expected earnings.