In late afternoon trading in New York, the Dow Jones Industrial Average rose 0.52 per cent, as did the Standard & Poor's 500 Index, while the Nasdaq Composite Index rose 0.40 per cent.
"It's all reflective of a view that the economy, despite some of the weaker or mixed data, is continuing to gain momentum," Quincy Krosby, market strategist at Prudential Financial in Newark, New Jersey, told Reuters.
A jump in shares of Home Depot, last up 6.2 per cent, led the gains in the Dow. The home improvement retailer upgraded its full-year earnings forecast.
"In the second quarter, our spring seasonal business rebounded, and we saw strong performance in the core of the store and across all of our geographies," Frank Blake, Home Depot CEO, said in a statement.
Minutes from the latest Fed meeting are due on Wednesday, while Fed Chair Janet Yellen's speech on Friday at the annual Jackson Hole, Wyoming global central bank gathering will also be closely watched for any clues on the timing of a potential interest rate increase.
"The rest of the week will focus attention on Jackson Hole and what she's going to allow," Kevin Giddis, head of fixed-income capital markets in Memphis at Raymond James & Associates, told Bloomberg News. "Investors are thinking the Fed is going to weigh heavy on what's going on in the jobs market."
In Europe, the Stoxx 600 ended the session with a 0.6 per cent increase from the previous close. The UK's FTSE 100 and France's CAC 40 both also gained 0.6 per cent, while Germany's DAX climbed 1 per cent.