The Stoxx 600 Index ended the day with a 2.7 per cent gain.
In afternoon trading in New York, the Dow Jones Industrial Average gained 1.01 per cent, the Standard & Poor's 500 Index rose 1.10 per cent and the Nasdaq Composite Index advanced 1.23 per cent.
"The markets are more worried about disinflation and recession than they are about inflation, so the celebration would have been stronger if they reduced interest rates," Bruce Bittles, chief investment strategist at Robert W. Baird & Co in Nashville, told Reuters.
A relatively bright note on the world's largest economy came as applications for jobless benefits rose by 6,000 in the week ended October 1 to 401,000, less than the 410,000 claims predicted by economists in a Bloomberg News survey.
The report though does little to change the long-term labour outlook. The latest monthly government report is due tomorrow. Employers added 59,000 workers to payrolls in September and the unemployment rate held at 9.1 per cent, according to the median forecast of economists compiled by Bloomberg.
The US housing market also remains sluggish. Mortgage rates in the US fell, sending longer-term borrowing costs below 4 per cent for the first time on record.
The average rate for a 30-year fixed loan dropped to 3.94 per cent in the week ended today from 4.01 per cent, Freddie Mac said in a statement.
The US economy is not slipping back into recession but will face a long, slow recovery as political gridlock in Washington and Europe make businesses wary of investing, according to General Electric Co's Jeff Immelt and other top executives.
"Recovery is underway, but it's a long, slow recovery. Slower than we'd like," the head of GE told a group of about 500 executives from mid-sized US companies.