Singer Bono was joined by his wife Ali Hewson and bandmates The Edge, Adam Clayton, and Larry Mullen, Jr. at the memorial service.
Other dignitaries in attendance included Irish Prime Minister Enda Kenny, Irish President Michael D. Higgins, and Paddy Moloney, frontman of folk rockers The Chieftans.
During the service at the Church of the Sacred Heart in Donnybrook, Dublin, a book of Heaney's work was taken to the altar, and his fellow writer Peter Fallon read Heaney's poem The Given Note.
Heaney, who won the Nobel Prize in Literature in 1995, died in a hospital on Friday (30Aug13) after he was admitted for treatment following a fall.
He will be buried later on Monday in his native Bellaghy, Northern Ireland.