Met Éireann has issued Status Orange weather warnings for 13 counties, with high winds coinciding with high tides tomorrow evening.
The warning comes into effect from 10pm tomorrow night and covers Donegal, Galway, Mayo, Sligo, Clare, Kerry Dublin, Louth, Wexford, Wicklow, Meath, Cork and Waterford.
Met Éireann said strong winds associated with Storm Callum could reach speeds of between 110km/h and 130km/h.
The northwest is expected to be most affected and the warning will remain in place there until midday on Friday.
A Status Yellow warning has also been issued for the rest of the country, with winds of up to 110km/h forecast.
Britain's Met Office has also issued a yellow wind warning for Northern Ireland for Friday.
Met Éireann said a band of stormy weather will bring a risk of coastal flooding to the west of the country, while a separate area of low pressure could bring heavy rainfall to the east at the weekend.
The national forecaster said strong winds could lead to some disruption, especially in exposed Atlantic coastal areas.
Speaking on RTÉ's News at One, Joanna Donnelly of Met Éireann said winds would be strongest in coastal areas.
"Strong winds will be everywhere but they they will be strongest at the coast," she said, adding that the storm is out to the west of country by about 300km.
She added: "Strong winds will sweep up over the whole of the country but they will be at their strongest on the coast."
Ms Donnelly said there would be a risk of flooding in places.
This evening there has been some minor flooding along the south channel of the River Lee in Cork city.
A section of Fr Mathew Quay on Morrison's Island is flooded, as well as the footbridge to Union Quay, and parts of Copley Street.
High tide passed in the city at 7.19pm.
Meanwhile, the Road Safety Authority has urged road users to exercise caution during Storm Callum.
It has advised road users to expect the unexpected and watch out for debris.
It has also advised pedestrians and cyclists to wear bright clothing and take care during the windy conditions.
Wind Warnings have been issued for Storm Callum for Thursday night and Friday morning.— Met Éireann (@MetEireann) October 10, 2018
Orange level for coastal counties, Yellow level inland.
Warning info: https://t.co/b24grJkqcb#StormCallum pic.twitter.com/amkehhcOYS
Waterways Ireland has issued a warning to boat owners and members of the public as Storm Callum approaches.
They are urging people to be aware of the dangers associated with harbours, jetties and moorings during stormy weather.
Waterways Ireland has warned about the dangers associated with walking on floating pontoons and mooring vessels in strong winds and said "heavy rainfall can result in slippery conditions along waterways".
Anyone visiting a boat during the storm is advised to wear full personal protective equipment.
Met Éireann says the unsettled weather would continue early into next week.
Last month, strong winds associated with Storm Ali caused damage and disruption all over the country.