President Emmanuel Macron ordered France into its third national lockdown and said schools would close for three weeks while the currency bloc also lagged the United States in vaccination programmes.
The euro changed hands at $1.1722, after hitting a near five-month low of $1.1704. Against the British pound, the common currency hit a 13-month low of 0.85025 pound.
The U.S. currency held firm against the yen after ending March with its biggest monthly gains since November 2016.
"The dollar's gain will probably slow down but the bias is still for the dollar to strengthen," said Masaru Ishibashi, joint general manager of trading at Sumitomo Mitsui Bank.
The dollar traded at 110.74 yen, having risen to as much as 110.97, its highest in a year.
"Yen-selling due to Japanese companies' foreign direct investment is coming back after a slowdown due to the pandemic last year," said Yujiro Goto, chief FX strategist at Nomura Securities.
Japanese conglomerate Hitachi on Wednesday announced a $9.6 billion acquisition of U.S. software company GlobalLogic Inc.
Some traders speculated flows related to the deal could be behind some of the dollar's recent rises.
U.S. President Joe Biden announced his long awaited $2 trillion-plus job plan, including $621 billion to rebuild infrastructure.
But the effort sets the stage for the next partisan clash in the Congress where members are divided on the total size and inclusion of programmes traditionally seen as social services.
That leaves big uncertainties on how the plan will end up, helping to keep immediate market reactions to minimum.
"This new package would certainly be a big positive for the U.S. economy if passed by Congress," said Elliot Clarke, senior economist at Westpac in Sydney.
U.S. DATA EYED
As the U.S. dollar maintained its strength, the Australian dollar dropped 0.65% to $0.7540, a low last seen in late December.
The offshore Chinese yuan eased 0.3% to 6.582 to the dollar, as data showed China's factory activity in March expanded at the slowest pace in almost a year.
While currency trading is expected to slow towards the Easter holidays in many parts of the world, the dollar could gain if key U.S. economic indicators surprise on the upside.
A survey by the Institute for Supply Management (ISM) on Thursday is expected to show a further improvement in the manufacturing activity.
Economists expect Friday's job data to show an increase of about 650,000 payrolls in March while the latest chatter in the market is it could swing higher, and even top one million.
The ADP National Employment Report showed on Wednesday U.S. private payrolls increased by 517,000 jobs last month, slightly lower than market forecasts.
In the crypto asset market, bitcoin maintained its firmness over the past several days to trade at $59,160.
(Reporting by Hideyuki Sano; Editing by Lincoln Feast and Himani Sarkar) ((email@example.com; +81 3 4520 1195;))