Storm Aiden was named by the Irish Met services on Friday and arrived with 50mph winds and heavy rain on Saturday morning.
The storm is set to bring further strong winds and heavy rain through the rest of Saturday, with another low pressure system arriving on Sunday bringing more unsettled weather.
Sunday and Monday will see winds of over 40 mph and more heavy rain.
Deputy Chief Meteorologist, Martin Young, said: “As the heavy rain and strong winds from Storm Aiden sweeps eastwards on Saturday, another system quickly follows on Sunday that contains the remnants of ex-Hurricane Zeta, bringing further heavy rain and strong winds.
“Given that this is falling on already saturated ground from what has been a wet October, there is an increased risk of flooding in some warnings areas.
Martin continued: “We will continue to monitor the situation over the weekend and may update the warnings, as details in the timing and potential impacts become clearer. Therefore we’re urging people to keep a close eye on the forecast, flood alerts and warnings in their areas.”