Householders and businesses are again being asked to conserve water where they can, as improvements in supply are being made.
County/city council information
A resumption of normal supply is expected in most areas before the weekend is out.
However, restrictions in Dublin are not expected to be relaxed for another 10 days.
Meanwhile, water restrictions are being lifted for the New Year's festivities tonight by local authorities around the country.
Shortages in parts of Mayo are described as critical, while up to 1,000 homes in Galway city still have no water supply.
In many parts of the east and midlands, people have to collect water from tankers.
Elsewhere, there were queues for fresh supplies of water in parts of Co Clare today.
Clare County Council says it will have to continue to enforce night time shut offs for at least six to seven days in order to restore sufficient levels in reservoirs.
While towns in the west of the county have not been affected, some parts of Ennis town and Clarecastle have not yet had supply restored.
Shut offs to hospitality businesses will not take effect tonight until 11pm to allow for New Year's Eve celebrations.
In Limerick, the west of the county is faring worse than the East.
There are problems being reported with supplies in the Newcastle West area.
Louth Council Council is to deliver at least 100,000 litres of drinking water per day by tanker to the Newry area.
Mayor of Drogheda Paul Bell said the council acted after water had been restored to most homes in Louth and after people indicated they wanted to help those across the border.
Northern Ireland
Meanwhile, Chairman of Northern Ireland Water Pauric White has said that 4,400 homes in Northern Ireland are still without running water.
He was speaking following a meeting of the board of Northern Ireland Water in Belfast, a day after Stormont ministers described the company's handling of the water crisis as a shambles.
Mr White said the response of the company was unacceptable and that the emergency plan in place for years was seriously inadequate and not capable of dealing with the severe weather crisis.
He said a full review would be put in place but no senior management had offered their resignation and no one has been sacked.
He said the immediate priority was to restore water to those without supplies.