"The world is nowhere near fully invested. Global growth will kick in once the US frees itself from a freezing cold winter and you want to own a slice of that," William Hobbs, the London-based head of equity strategy at Barclays' wealth-management unit, told Bloomberg News. "We expect synchronised and accelerating growth from most of the developed economies."
Gains in shares of IBM and Cisco, up 3.3 per cent and 2.6 per cent respectively, led the advance in the Dow.
Meanwhile, Philadelphia Fed President Charles Plosser told CNBC he was surprised by the market's reaction following Fed Chairman Janet Yellen's comments at the conclusion of the FOMC meeting last week.
Last Wednesday Yellen said interest rates might rise as early as the first half of 2015.
"It's a little bit puzzling that the market would react the way it did," Plosser said on CNBC's "Squawk Box." "I don't think the Fed changed its position. In fact, it tried to say very explicitly in its statement that we believe forward guidance or the expectations have not changed as far as we're concerned."
In Europe, the Stoxx 600 Index finished the day with an advance of 1.3 per cent from the previous close, as did the UK's FTSE 100. France's CAC 40 and Germany's DAX both climbed 1.6 per cent.
In Germany, business confidence weakened. The Ifo institute's business-climate index slid to 110.7 in March, down from 111.3 in February.
Some investors found value in gold prices that touched the lowest level since February 14. Gold futures for June delivery were up 0.1 per cent to US$1,312.80 an ounce on the Comex in New York, after earlier in the day sliding as low as US$1,305.90, according to Bloomberg News.
Commodities in general were lifted in part by hopes that the Chinese government may seek to prop up its weakening economy.