Ten thousand homes and businesses are currently without power across the country.
Worst affected areas are Enniscorthy in Co.Wexford, Milltown Co.Kerry, Youghal in Cork and Blanchardstown in Dublin.
ESB Networks says it's working to repair faults as quickly as possible, but they expect more outages as the storm continues.
Meanwhile, in County Mayo, the Belmullet road has been closed due to flooding.
In Waterford, the promenade in Tramore has been closed, and in Cavan there's a fallen tree on the N55.