Separately, a Labor Department showed the consumer-price index rose 0.2 per cent. Core costs, excluding food and energy, also gained 0.2 per cent.
Markit's US manufacturing purchasing managers' index rose to 55.3 in March, the highest level in five months, up from 55.1 in February.
"You have central banks lowering rates around the world, while we are talking about raising rates," Andre Bakhos, managing director at Janlyn Capital in Bernardsville, New Jersey, told Reuters. "Our dollar is naturally going to get stronger."
While the euro gained against the greenback earlier in the session, the US dollar moved higher later in the day.
"Any positive surprises from the euro area are further adding to this euro/dollar rally; however we think this is temporary," Nikolaos Sgouropoulos, foreign exchange strategist at Barclays in London, told Bloomberg. "We still believe in the dollar strength trend going into the second half of the year."
Markit's euro-zone composite flash PMI rallied 54.1 in March, the highest level in almost four years, up from February's 53.3.
"The eurozone's economic recovery gained further momentum in March," Chris Williamson, chief economist at Markit, said in a statement. "The improvement provides welcome news to a region awaiting signs that the ECB's quantitative easing is stimulating the real economy."
Europe's Stoxx 600 Index ended the session with a 0.3 per cent advance from the previous close. France's CAC 40 Index rose 0.7 per cent, while Germany's DAX gained 0.9 per cent.
Markit's flash Germany composite output index rose to 55.3 in March, the highest level in eight months, and up from 53.8 in February.
"It's important that Germany, the export engine of Europe, is managing to maintain momentum for the European recovery," Witold Bahrke, an asset-allocation strategist at Nomura International in London, told Bloomberg. "It's quite astonishing in the light of the global weakness we've seen that Europe has so far been doing so well."
The UK's FTSE 100 Index declined 0.3 per cent from the previous day's record-high close.
Meanwhile, China's flash HSBC/Markit PMI dropped to 49.2 in March, the lowest level in 11 months.
"The deteriorating PMI confirmed that downside risks to China's 2015 growth have started to materialise," Jian Chang at Barclays told Reuters. "We expect an accelerated monetary easing cycle and somewhat loosening of the fiscal stance."