There is now a regular festival in Ireland known as "TedFest", that honours the show Father Ted and the memory of Dermot Morgan.
In Merrion Square, Dublin, there is a Jester's Chair, dedicated to Dermot's memory.
In 1998, Dermot's three sons brought out a book about him, Our Father ... Tribute to Dermot Morgan, by Dan, Bobby and Ben Morgan.
Dermot reached no. 1 in the Irish Record chart with Thank You Very Much, Mr Eastwood about boxer Barry McGuigan and his manager, Barney Eastwood.
At the BAFTAs in 1999, Dermot won a posthumous award for Best Comedy Performance for Father Ted.
Among the dignitaries at a Requiem Mass for Dermot were the former Irish President and UN Human Rights Commissioner, Mary Robinson, current Irish President Mary McAleese and Irish Deputy Prime Minister Mary Harney. As a further indication of the high esteem Dermot was held in Ireland, even the then Prime Minister Bertie Ahern and former Prime Minister Charles Haughey joined in the tributes.
Dermot was buried at Deansgrange in South Dublin, Ireland.
In the early 90s he hosted a radio satire show along with Gerry Stembridge and Pauline McLynn, called Scrap Saturday. RTE cancelled the show after two seasons.
(on his position on Catholicism and the possible effect of "Father Ted")
Dermot: I'm a lapsed Catholic. I just don't think it's right for priests to hop around the altar telling you what to do. I think in general big organisations are bad news and then there's the whole celibacy thing. Denying your sexuality is an anomaly and it's just not healthy. I've always had a reputation for sailing close to the wind but with something like Father Ted although it's cutting edge I really don't think it's offensive. I guess it's down to personal taste.
(on how the Catholic Church will be affected by "Father Ted")
Dermot: The Church has greater problems than Father Ted. It's a spent force. I've heard they have zero admissions at some seminaries. I'm old enough to recall the clout they had in the 1960s, when people used to talk about "the belt of a crozier" whenever they cracked down on secular society. Now I genuinely sympathise with priests for what is a largely untenable position. Anyone suggesting that it is the infallible will of the Church that priests should remain celebate is talking nonsense. That is going to do far more damage than Father Ted.
(Dermot's thoughts on the church)
Dermot: I don't believe in confessional, any of it. Fascists are people who dress in black and tell you what to do and priests, well, er ...