Forecasters say blustery conditions and showers will continue well into this afternoon.
Orange wind alerts are in place for Donegal, Leitrim, Mayo and Sligo - with yellow alerts for Munster, Leinster, Cavan, Monaghan, Galway and Roscommon.
There's a lot of debris on roads this morning and drivers are asked to take extra care.
Ireland is continuing to experience the tail end of Hurricane Gonzalo which has already severely damaged buildings and caused powercuts in Bermuda.
John Eagleton is a forecaster with Met Eireann:
The poor conditions have hit flight schedules too.
London Heathrow says about 10 per cent of their services will be disrupted by the high winds that have been forecast.
Intending passengers have been asked to check with their airlines for latest updates.
Aer Lingus said yesterday that four flights on their service between Dublin and Heathrow had been cancelled today.
Irish Ferries has had to cancel a number of its Jonathan Swift vessel's sailings today because of the weather conditions.
Services from Dublin at 8.45 this morning and 2.30 this afternoon are cancelled, as are the services from Holyhead at 11.50 this morning and 5.15 this afternoon.
Passengers will be accommodated on the Ulysses cruise ferry.
The Ulysses morning service is also running behind schedule due to bad weather on the Irish Sea this morning.
It's now due to arrive in Dublin at half past seven.
