A yellow wind warning is also in place for Carlow, Kildare, Kilkenny, Laois, Longford, Offaly, Westmeath, Cavan, Monaghan, Leitrim, Roscommon, Limerick and Tipperary.
Natural Resources Wales (NRW) warned that weather conditions at sea could also cause flooding with large waves, strong winds and a tidal surge.
The weather warning has been issued for Dublin, Louth, Wexford, Wicklow, Meath, Cork, Waterford, Donegal, Galway, Mayo, Sligo, Clare and Kerry and will remain in place from 10pm tonight until 9am on Friday.
Met Office meteorologist Greg Dewhurst said: "Storm Callum is coming from the middle of the Atlantic".
"Areas of high ground exposed to the south and south west will be most affected, with the potential for 50-80mm in 12 hours, and a chance of over 120mm in a few spots".
Power cuts, travel disruption and hard driving conditions are also predicted, with yellow weather warnings for wind covering Northern Ireland and western parts of Wales, England and Scotland throughout Friday. "You can check our website or call Floodline on 0345 988 1188 for any flood warnings that may be in place and keep an eye on weather reports and local news for details of any disruption in your area". There is the risk of localised flooding, tricky conditions on the roads with surface water and spray. Another bout of strong southerly winds will spread in during Friday night and last into Saturday but this won't be as bad as on Friday, just another windy day.
Callum is the third named storm of the 2018/19 season, following Ali and Bronagh which both camer in September.
The winds may arrive several hours earlier than expected.
James Nicholas of Arriva Trains Wales said: "There is significant rain expected this weekend across Wales coupled with high winds and very high tides, particularly up on the Cambrian Coast - linking in to Shrewsbury".
The national emergency group includes Met Éireann, local authorities, the ESB, OPW and government.
The county council is urging motorists to avoid all coastal roads, and to only make essential journeys.
The east coast may experience some "localised flooding" but it is not expected to be widespread, unlike the aforementioned counties.