The April figure represents four consecutive months of inflation above 5 percent in Iceland.
The level can be compared with the Icelandic central bank Seðlabanki's inflation target of 2.5 percent.
Seðlabanki raised the key interest rate to 7.50 percent in March to slow price increases.
If inflation - that is, annual price increases - is above 4.7 percent in August, the country may need to initiate a new bargaining process.
Compared with the previous month, consumer prices in Iceland rose by 0.8 percent in April.
