After a similar tumble on Thursday, the euro was down over 7 percent since the start of the year and on track for its biggest monthly fall since the depths of the financial crisis in early 2009.
The euro is set for yet another trial as global markets await snap Greek elections on Sunday. A win for the leftist Syriza party could trigger a standoff with Greece's EU/IMF lenders. Analysts said the uncertainty added to the euro's weakness.
The euro also set a fresh seven-year low versus sterling of 74.295 pence.
The dollar appeared to be headed higher given the Federal Reserve's path toward tighter monetary policy in contrast with the looser policies of other central banks such as the ECB and the Bank of Japan, analysts said.
The dollar index, which measures the greenback against a basket of six other major currencies, hit fresh more than 11-year highs and was last up 0.68 percent at 94.717.
The dollar was last down 0.68 percent against the safe-haven yen at 117.7 yen, with analysts citing weakness in U.S. stocks and lingering disappointment that the Bank of Japan held off from expanding its bond-buying program.
The Swedish crown tumbled 1.2 percent against the dollar to an almost six-year low of 8.3697 crowns after a Riksbank official said the bank was technically ready to launch its own quantitative easing program if necessary.