The eurozone has emerged from recession after a record 18 months of economic contraction.
Across the bloc, GDP grew by 0.3% in the second quarter of 2013, slightly ahead of forecasts.
The growth was widely expected after the German economy rose 0.7% between April and June.
However, the overall figure masks the mixed economic fortunes among the countries that make up the 17-country eurozone area.
Germany and France both posted stronger-than-expected growth, expanding 0.7% and 0.5% respectively.
Portugal, among the smallest and the weakest eurozone economies, showed the fastest growth, at 1.1%.
The country was one of three that had to take a multi-billion-euro bailout.
But Spain, which had to seek outside support for its struggling banking sector, saw its economic output fall by 0.1% on the quarter.
Italy and the Netherlands both saw output drop by 0.2%.
European Commission Vice-President Olli Rehn said the figures suggested the European economy was gradually gaining momentum, but added there was no room for complacency.
“There are still substantial obstacles to overcome: the growth figures remain low and the tentative signs of growth are still fragile,” he said.
“A number of member states still have unacceptably high unemployment rates; the implementation of essential, but difficult reforms across the EU is still in its early stages. So there is still a very long way to go.”
Analysts from Capital Economics said: “The return to modest rates of economic growth in the eurozone as a whole won’t address the deep-seated economic and fiscal problems of the peripheral countries.”
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