The storm is also expected to bring a spell of heavy and persistent rain, mainly through the first half of Monday before clearing.
Met Éireann, the Republic of Ireland’s meteorological service, has issued yellow wind and rain warnings for several counties including Donegal, Galway and Mayo.
It advised people of potentially dangerous travelling conditions, due to the possibility of heavy rain and fallen trees, on what is a bank holiday in the country.
Storm Floris is the first storm to hit Ireland and the UK since Storm Éowyn in January.
That storm sparked a rare red warning for Northern Ireland, and the first red warning for the whole island of Ireland.
A number of councils in Northern Ireland have closed outdoor spaces on Monday:
- Armagh City, Banbridge and Craigavon Council has closed all parks, open spaces, forest parks, golf courses, caravan parks, and recycling centres
- Fermanagh and Omagh District Council has closed a number of facilities and outdoor areas, and advised people against using facilities like recycling centres
- Mid Ulster District Council has closed all council forest and park sites
- Newry, Mourne and Down council has closed all forests, country parks, and community trails, as well as all associated facilities and advised people not to visit play parks, beaches and other outdoor areas
- Mid and East Antrim Borough Council has said some council parks and open spaces may close at short notice if deemed unsafe
The Department of Agriculture, Environment and Rural Affairs has also advised the public not to visit affected forests and parks on Monday and Tuesday until the high winds subside.
A number of councils in Northern Ireland have also warned residents to collect their bins after they have been collected to avoid damage to property.