Irish milk producers have exceeded their European Union production quota by 60,000 tonnes.
The over production has triggered a super levy fine of €16m.
The milk production over run is just over 1% of Ireland's quota.
The super levy is charged at €27.83 per 100kg and is levied on producers.
Five other countries - Austria, Germany, the Netherlands, Cyprus and Luxembourg - also broke their production quotas.
However, the total EU production was 4.7% below its global production volume.
The EU quota system was introduced in 1980 to address problems of surplus production.
It is due to end in 2015, allowing EU farmers to sell into rising world demand for milk products.
The Irish dairy industry has been investing heavily to expand output in the run in to the end of quotas.