Aer Lingus, Ryanair and Aer Arann have cancelled flights out of Dublin Airport for the rest of tonight.
The airport is closed until at least 8pm today.
Flights at Cork, Shannon and Knock are running, but delays are expected.
Siobhan Moore from Dublin Airport Authority called for every taxi in Dublin to get to the airport to help bring stranded passengers home.
A decision is being taken around now on whether the airport will be able to reopen at all tonight.
"The weather conditions are just so bad here," she said.
Around 3,000 flights have been cancelled across Europe today.
Meanwhile, all Irish Ferries sailings are operating normally and on schedule, but the company has warned that space is limited on all sailings up to and including Christmas Eve.
"The company continues to experience a surge in bookings, especially from foot passengers who have found themselves stranded at airports with the bulk of demand coming from those wishing to travel home to Ireland to be with family and friends for Christmas," said a spokesman.
Around the country this evening, motorists face treacherous conditions as road temperatures continue to drop.
Gardaí are advising people not to drive unless absolutely necessary - and to use public transport where possible.