Monsignor Colum Curry said the site where the three, named locally as Nathan Corrigan, Peter Finnegan and Peter McNamee, died after a car and a lorry collided on the A5 Omagh Road in Garvaghy was scattered with debris.
"It was a horrific accident - a lot of debris scattered over the road, the car was on its roof," he told Good Morning Ulster.
“The whole event just reminded me that life is precious and very fragile."
Monsignor Curry added that there was little people could say to the bereaved families.
"There are very few words that I think can adequately speak into such terrible anguish," he said.
"I suppose the best we can do is just try to be present and help them in some small way just to cope with the darkness of this awful event.
"It has just been a huge shock to everybody."
Police said the three men, who were all in their 20s and from the local area, died in the car after the crash, which happened close to a filling station on the Omagh Road at about 1.50am.
A fourth man in the car, who is also in his 20s, was taken to hospital for treatment for treatment for serious injuries.
The driver of the lorry was not hurt, police said.
Clogher Eire Ogs said on their Facebook page that they had received communication from the Finnegan family.
The club posted: “We are sure you are all aware of the tragic road accident that occurred early this morning.
“From everyone here at An Clochar Éire Ógs and the community as a whole we would like to send our sincere condolences to the families involved and our prayers are with the individual currently in hospital.
"We have however received the following communication from the Finnegan family ..
'Patrick Sr, Catherine, Patrick, Sarah, Daly, Elizabeth and the entire Finnegan and Daly families, at the untimely and tragic death of their beloved son and brother Peter, appreciate all your kind prayers and thoughts, we would request that the house is private, only for family and close friends. Funeral arrangements to follow.
'The Finnegan Family, Clogher.'
“We are sorry for your loss,” the club added. “You are in our thoughts and prayers. May he rest in peace.”
The Parkview Community Group posted on Facebook: “As a result of a tragic accident is with a heavy heart that we wish to offer our condolences to several families within our community.
“To Aimee Mc Namee (Parkview) on the passing of her brother Petey Mc Namee, and also to Seamus and Bernie Corrigan on the passing of their grandson Nathan (son of Damien and Kate). Our thoughts and prayers are with all of the families affected by this tragedy. May they RIP.”
In their own post, Eglish Camogie club said they would like to pass on their “sincere condolences to our former player Catherine Finnegan (nee Daly) and her husband Patrick & their children, Patrick, Sarah, Daly & Elizabeth and their wider family circle on the tragic passing of their son & brother Peter.
“We offer up our thoughts and prayers to the Finnegan & Daly families.”
St Ciaran’s College also said in a Facebook post that it “wishes to extend our deepest sympathies to the families and friends of two of our past pupils, Nathan Corrigan and Peter Finnegan, who tragically passed away yesterday morning and also to the family of their friend Petey McNamee who sadly lost his life too.
“We will keep the young man currently in hospital in our thoughts and prayers and wish him a full recovery. St Ciaran, pray for them.”
SDLP MLA for the area, Daniel McCrossan, was quoted by the BBC, saying he had concerns about the safety of the A5 road, where, it has been reported, more than 40 lives have been lost in the last 15 years.
"I heard the news this morning and I was very, very was concerned about the profound impact this will undoubtedly have on each and every person that knows those young lads," he said.
"It is an extremely dangerous, extremely difficult road for people to travel on and it's absolutely essential for people to travel on because they have no alternative."
The Omagh Road had been closed while crash investigators examined the scene but it has since reopened.
There have been a number of tragic incidents on Ireland's roads in recent days.
Just last night, a man in his 30s was killed in a crash involving a bus and car in Co Wicklow.
The male driver of the car was pronounced dead at the scene, however, there were no other serious injuries, according to Gardaí.
The incident happened shortly before 10pm on the southbound carriageway of the M11 between junctions 16 and 17 at Rathnew.
It's understood that Gardaí had received reports that a car may have been travelling in the wrong direction on the road around the time of the collision.
Earlier on Monday a young man died following a crash in Co Mayo.
The crash happened at around 5.40pm on the N60 at Breaffy in Castlebar when two cars collided.
The man in his 30s, a passenger in one of the vehicles, was fatally injured in the collision.
And a cyclist was killed in Dublin shortly before 1pm on Monday, when a car and bicycle collided on Killeen Road in Ballyfermot, Dublin 10.
The man aged in his 80s, was pronounced dead at the scene.