Met Éireann has issued a Status Yellow wind warning for all counties while the UK Met Office issued an Amber warning for Antrim, Derry and Down, as Storm Chandra approaches.
The Yellow wind warning comes into effect at 3am on Tuesday morning and will remain in place until 11pm tomorrow evening.
Met Éireann has also warned of "hazardous" travel conditions as Storm Chandra is forecast to bring very strong winds and heavy rain across the country, with over a dozen counties under Status Yellow weather warnings.
A Status Yellow rain warning will be in effect for counties Carlow, Kilkenny, Louth, Wexford, Wicklow, Waterford from midnight until 11pm tomorrow.
Met Éireann has said heavy and persistent rain is expected, with rain falling on already saturated ground leading to localised flooding and difficult travel conditions.
The warning for very strong winds and gusty conditions will be in effect until 11pm tomorrow.
Met Éireann has said "hazardous" travel condition are forecast, with wave overtopping and fallen trees expected.
In Northern Ireland the UK Met Office has issued an Amber warning for Antrim, Derry and Down from 5am tomorrow until 9pm, with counties Armagh, Fermanagh and Tyrone under a Status Yellow warning as heavy rain and strong winds are forecast.
Today will be dull and breezy with rain becoming widespread and turning heavy at times. The wet and windy weather is forecast to persist as the week progresses.
Chandra is the third named story of the year and means Hindu god of the moon.
Met Éireann meteorologist Linda Hughes said it has been classed as wet a total of 21 out of 25 days in January, with a "wet day" consisting of 1mm or more of rainfall.
"Some parts of the south and the east have already had more rain than they normally expect in the whole month of January up to yesterday," she said.
However, she said it has been drier than normal in the northwest of the country.
She noted an "active Atlantic regime" at the moment, which she said is a "success of low-pressure systems" coming towards Ireland, making it unsettled for the rest of this week and into next week.
Ms Hughes said there is a possibility that the warnings could be upgraded due to Storm Chandra being a "storm strong", which she said will mostly affect the UK.
"Keep an eye on the warnings, it is a changing situation, so there could be updates," she said.
