The survey by the Society of Chartered Surveyors Ireland found an increase of 5.7% outside the capital.
The report included feedback from 400 estate agents, and describes 2013 as "the year of the recovery".
It found a lack of supply was the main factor driving up prices in Dublin and parts of Cork.
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Simon Stokes from the SCSI, says these latest figures show the extent of the two-tier market which exists between Dublin and the rest of the country.
You can read the full report here.