Shares of Walt Disney and Cisco led the gains in the Dow, up 1.3 per cent and 1 per cent respectively.
The latest clues on the US labour market will be offered in the form of the ADP employment report on Wednesday, followed by weekly jobless claims on Thursday, and the government's monthly employment report on Friday.
US Treasuries fell, pushing yields on 10-year bonds 4 basis points higher to 2.76 per cent.
"Everyone expects the Fed to remain accommodative, even after the asset purchases (have ended), and Yellen's comments echo this sentiment," Larry Milstein, managing director in New York of government-debt trading at R.W. Pressprich & Co, told Bloomberg News. "The market is waiting for Friday's employment data to give us direction."
In Europe, the Stoxx 600 Index finished the session 0.2 per cent higher from the previous close. Germany's DAX and the UK's FTSE 100 both closed 0.3 per cent lower. France's CAC 40 shed 0.5 per cent as the socialist government sought to revamp itself in the wake of heavy municipal election losses on the weekend.
German retail sales unexpectedly increased 1.3 per cent in February, following a revised 1.7 per cent gain in January.
Separately, inflation in the euro zone eased more than expected to 0.5 per cent in March, according to an initial estimate by the European Union's statistics office. European Central Bank policy makers are set to gather this Thursday and are expected to keep interest rates steady at a record low.
"This will keep the possibility of further monetary policy easing very much alive," Nick Kounis, head of economic research at ABN AMRO in Amsterdam, told Reuters. "Nevertheless, the central bank has shown quite some tolerance for low inflation recently."