Stocks on both sides of the Atlantic advanced amid better-than-expected corporate earnings and US consumer confidence climbing to the highest level in seven years.
Focus is also squarely on US Federal Reserve policy makers as they started their two-day meeting. The central bank is expected to end its monthly bond-buying program.
Shares of Amgen jumped, last up 5.1 per cent, after the company reported third-quarter earnings that surpassed expectations and upgraded its full-year forecast.
In afternoon trading in New York, the Dow Jones Industrial Average added 0.57 per cent, the Standard & Poor's 500 Index rose 0.63 per cent, while the Nasdaq Composite Index climbed 1.26 per cent.
Gains in shares of Caterpillar and those of United Technologies, up 2.1 per cent and 1.4 per cent respectively, led the Dow higher. Shares of Merck extended Monday's slide, last 2.5 per cent lower for the largest percentage drop in the Dow in afternoon trading.
"Corporate earnings continue to surprise and that has been the wind in the sails of this rebound," King Lip, chief investment officer at Baker Avenue Asset Management in San Francisco, told Reuters.
Also helping was a Conference Board report showing its gauge of US consumer confidence posted its highest reading since October 2007, rising to 94.5 this month.
To be sure, two separate reports were disappointing. Durable goods orders unexpectedly fell, sliding 1.3 per cent in September. The S&P/Case-Shiller index of property values increased 5.6 per cent in August from a year earlier, down from 6.7 per cent in the year ended July. It was the slowest increase since November 2012.
Meanwhile, the US Treasury's auction of US$29 billion of two-year notes drew a yield of 0.425 per cent, the lowest since May, amid expectations the Fed will keep its target interest rate at record lows.
"Lower for longer is the outlook for now," Larry Milstein, managing director in New York of government-debt trading at RW Pressprich & Co, told Bloomberg News. "That's why the two-year note is trading below 0.5 per cent."
In Europe, the Stoxx 600 ended the session with a 1 per cent increase rom the previous close. France's CAC 40 rose 0.4 per cent, the UK's FTSE 100 Index gained 0.6 per cent, while Germany's DAX rallied 1.9 per cent.
Shares of UBS jumped 5.8 per cent after investors welcomed the Swiss bank's announcement it put aside 1.84 billion Swiss francs (US$1.94 billion) for litigation provisions.
"I think we have seen the peak in litigation costs," Peter Stenz, a Zurich-based fund manager at Swisscanto Asset Management, told Bloomberg News. "At some point we'll see light at the end of the tunnel."