The ECB announced it would maintain its negative interest rate policy and maintain a record pace of asset purchases to stimulate tepid growth.
Draghi described the current euro zone recovery as "dampened by the sluggish pace of structural reform" and said a "very substantial degree" of monetary policy stimulus was still needed.
That helped the dollar add to Wednesday's gains that followed remarks from Federal Reserve Chair Janet Yellen who said a "few" increases in U.S interest rates could be appropriate this year.
The greenback gained as much as 1 percent on Wednesday after Yellen's speech, which turned investors back to the narrative of strong growth and rising inflation in the U.S. that drove the currency higher.
"Clearly there's policy divergence between the two central banks," said Peter Ng, senior FX trader at Silicon Valley Bank in Santa Clara, California. "Just based on the fundamentals, things are looking good in the U.S. You've got firmer rates, strong labor market and the yield differential supports U.S. assets."
The euro fell to a session low of $1.0590 against the dollar and to a 10-day low of 86.11 pence against sterling. It was up 0.18 percent against the dollar at 2:40 p.m. ET.
The dollar also was bolstered by rosy reports on U.S. jobless claims and housing starts.