Iarnrod Eireann services are operating on all routes this morning.
Some speed restrictions do remain in place this morning, and they are affecting services between Galway/Mayo to Athlone.
Some services will also operate with reduced capacity due to storm damage.
Passengers can get updates on their website.
Bus Eireann services have also resumed this morning with some diversions in place.
Routes 52 and 64 are operating with diversions this morning due to a fatal accident on the N17 yesterday evening.
Route 456 local link service is also operating with restrictions following a road traffic accident between Ballinrobe and the Neale earlier this morning.
Some city services in Sligo are also interrupted due to fallen trees on routes.
Again customers can get latest up to date details on their website.