Gardaí say the road is likely to remain closed for several hours and that diversions are in place.
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A section of the N20 Limerick/Cork road has been closed this afternoon following an accident this morning.
In the latest film, currently being made on location in New Zealand, Cork stands in for Swedish actress Ferguson during her action scenes, often with Cruise's character Ethan Hunt.
Jersey born Cavill, best known for his role as superhero Superman, plays an as yet unspecified role in the sixth installment of the film franchise.
Stunt woman Lucy Cork and the 34-year-old actor went public with their romance for the first time with a trip to the Wimbledon Men's tennis final.
It was a rare sighting for the couple who met on the set of the latest 'Mission: Impossible' blockbuster where 25-year-old Cork is the stunt double for actress Rebecca Ferguson.
The two-vehicle, head-on collision occurred between Rourke’s Cross and Charleville shortly before 11am.
Four people have been taken to University Hospital Limerick and the seriousness of their injuries is unknown.
However, it is understood that the man was unable to tell medical staff the events which led him to sustain his injuries.