Eircom says it is currently dealing with 5,800 faults on its network.
The company says the severe weather is impacting heavily on its broadband and telephone services.
Counties Wexford, Carlow, Kilkenny, Cork, Kerry, Clare, Galway and Mayo are the worst affected.
More than 6,500 faults have been repaired since Monday, the company said.
"Weather conditions remain very difficult especially in rural and upland areas," said an eircom statement.
"All available technicians have been diverted onto fault repairs and crews will continue to carry out repair work throughout the weekend.
"We are making every possible effort to restore service to customers who are currently experiencing a disruption to their telephone and broadband service.
"Customers are reminded, where possible, to log faults on the “Log a Fault” section of our website (www.eircom.ie/logafault) or through our automated customer service line 1901. Faults can be reported to either service 24 hours a day, seven days week."