Fallen trees and dangerous weather have played a part in the disruption.
Storm Ali has taken its toll on mail and post office services throughout the North and North West of the country on Wednesday morning.
The first named storm of the season has already brought gusts of over 140km/h to parts of the country and left 140,000 without power.
And now heavy winds and subsequent storm damage mean that disruptions to service in more than 60 post offices are being experienced across the country.
According to An Post, mail deliveries across a wide area of the North and North West were temporarily disrupted during the height of the storm.
Services in Galway, Sligo, Mayo, Donegal and Louth have also been affected.
However, they have also confirmed that they are working to restore full services as soon as possible.
Met Éireann has issued a status orange wind warning for Connacht and counties Cavan, Monaghan, Donegal, Dublin, Kildare, Longford, Louth, Offaly, Westmeath, Meath, Clare and Kerry with gusts of between 110km/h and 130km/h expected.
The Orange alert will remain in place until 1pm on Wednesday afternoon while the less extreme Yellow warning will be lifted at 5pm that afternoon.
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