Airport maintenance crews, who have been working flat-out, to keep the runways, taxiways and parking stands clear, closed the main runway just after 7pm last night in the hope of clearing it of snow.
All trains and buses have finished for the day and remaining flight services at Shannon Airport will finish at 6pm.
Additional staff are on site to assist with the adverse weather response.
"We are doing everything we can to re-accommodate affected customers and minimise disruption to their travel plans and we apologise for any inconvenience caused by these disruptions which are entirely outside of our control".
"Today remains challenging and there will be disruption".
"We ask that all other passengers DO NOT come to the airport".
The airline said that due to the severe weather conditions brought on by the Beast from the East and Storm Emma, no flights will be operating to or from Dublin, Shannon, Cork, or Belfast airports.
They have since said that they too expected further cancellations today and tomorrow. The airport's Airline Moves project - when Gatwick's three biggest airlines switched terminals over a 72-hour period - was also cited by judges.
The airport's twitter reads: "Our runway is now closed with an estimated opening time of 2pm".