Eurozone inflation fell to 0.5% in May, down from 0.7% in April and well below the European Central Bank’s 2% target.
The fall means the ECB will be expected to take steps to boost growth and counter the threat of deflation when it meets on Thursday.
Figures from EU statistics office Eurostat also showed that the eurozone unemployment rate fell slightly to 11.7% in April from 11.8% in March.
The drop means 18.75 million were unemployed in April.
In total, the number of people unemployed fell by 76,000 between March and April.
There were wide variations across the eurozone. Austria had the lowest unemployment rate at 4.9%, closely followed by Germany with 5.2%.
In Greece, unemployment was 26.5% in February, while Spain had a 25.1% unemployment rate.