Official figures show that euro zone industrial production rose 0.7% in October, rebounding from a 0.7% fall in September.
The September figure was also an upward revision from a previous estimate of a 0.9% drop, the Eurostat data agency said.
Industrial production in the 27-nation EU, which includes non-euro members Britain and Poland, was up 0.3% in October from September.
Among individual euro zone states, the sharpest increases were recorded in Luxembourg, where output jumped 6.4% in October, and in Greece, up 3.6%. Ireland suffered a 4.8% drop in production, the biggest fall in the 16-nation euro zone.
But euro zone powerhouse Germany reported a 3% rise in production, while output in France was down 0.6%.
On a 12-month comparison, industrial output increased by 6.9% in the euro zone in October and by 6.7% in the EU, the statistics agency said.
