The body of a man in his mid-30s was discovered in the Marine Apartments in the town yesterday evening.
He was from the Belfast area but had been living in Bundoran for the past five years.
Gardai cordoned off the apartments before the body was taken this afternoon(Sun) to Sligo General Hospital for a post mortem examination.
Members of his family had travelled from Northern Ireland to identify the remains at the scene.
The man, a separated father of one boy who made his First Communion earlier this year, was unemployed.
Gardai said foul play was not suspected.