On Saturday, Taoiseach (Irish prime minister) Micheál Martin said the destruction caused by some of the strongest winds on record was “unprecedented”.
Tánaiste (Irish deputy prime minister) Simon Harris confirmed that the Irish Defence Forces are providing helicopters to help ESB Networks restore power.
Eir and Vodafone have said that thousands of its customers are without broadband.
Fergal McCann from Eir told Morning Ireland it received over 2,000 calls over the weekend, and that the worst affected areas are in the northwest and midlands.
Clean-up and repairs could be further hampered by a status yellow wind alert, which was in place for counties Cork, Kerry and Waterford until 09:00 local time on Monday.
An alert is currently in place for County Wexford until 14:00 local time.