Also helping sentiment were further signs of recovery in the China, the world's second-largest economy, as the nation's exports grew more than expected in August.
In late afternoon trading in New York, the Dow Jones Industrial Average climbed 1.03 per cent, as did the Standard & Poor's 500 Index, while the Nasdaq Composite Index rallied 1.3 per cent.
Meanwhile, Federal Reserve Bank of San Francisco President John Williams said the central bank will probably adopt a "multi-step" plan for easing back its pace of bond buying as the jobs market has improved in line with expectations.
"We're still on our forecast, in my view, that we would begin tapering, quote-unquote, later this year," Williams told reporters after a speech to the National Association for Business Economics in San Francisco, according to the Wall Street Journal. "I'm not going to get into whether that's September, or whatever."
Carl Icahn said on Monday he was withdrawing from a battle to thwart founder Michael Dell's proposed buyout of Dell, saying it would be "almost impossible to win". Shareholders are set to vote on the buyout on September 12. Shares of Dell were last steady, edging 1 US cent higher to US$13.85.
In Europe, the Stoxx 600 Index closed with a 0.1 per cent slide from the previous close. France's CAC 40 fell 0.2 per cent, and the UK's FTSE 100 Index shed 0.3 per cent. Germany's DAX eked out a gain of less than 0.1 per cent.