The Irish Aviation Authority has said Dublin, Cork and Waterford airports will remain open until at least 7pm tomorrow.
Travel updates | Useful travel links
Shannon, Ireland West (Knock), Donegal, Sligo, Galway and Kerry airports will all open at 6am and will remain open until at least 7pm tomorrow.
The IAA added that the past number of days has seen the growth of a large cloud of high ash concentration off the west coast of Ireland, which has caused difficulty for some transatlantic operations and operations into some areas of southern Europe.
Aer Lingus has cancelled some flights from Dublin to destinations including Paris, Zurich, Geneva, Lyon, Dubrovnic, Nice and Milan.
The airline is advising passengers to check with their website before travelling.
Ryanair has said it expects some disruption to its flights to and from Kerry airport early tomorrow morning and has advised passengers to check with its website.
Flights to Pisa, Bologna, Milan and Turin faced disruption today, as well as routes to Porto in Portugal.
Meanwhile, the Minister for Tourism is to meet industry bosses tomorrow to review the effects of the volcanic ash crisis and begin devising a code of conduct to ensure visitors stranded here are properly looked after.
But Mary Hanafin rejected calls from tour operators for a fund to be set up to compensate tourism businesses badly hit by the disruption.