Liam Adams, aged 63, was a convicted paedophile who spent six years in Maghaberry Prison where he was serving a 16 year sentence after being convicted in 2013 of raping and sexual abusing his daughter Aine Dahlstrom.
The rapist died at a hospice in Belfast on Monday from cancer.
A small crowd gathered at St Eunan’s Cathedral in Letterkenny for today’s funeral mass.
Mr Adams was later buried at Conwal Graveyard on the outskirts of the town.
The deceased man’s remains had been waked at his partner’s home in the Mountaintop area of Letterkenny since Wednesday.
Mr Adams funeral cortege was led by a silver Belfast taxi as it made its way on the two-mile journey to his final resting place after his funeral mass.
Gerry Adams did not carry his brother’s coffin but it was instead carried by a number of people including three women.
Liam Adams fled to Buncrana in the late 1980s when the news broke of his daughter accusing him of rape and sexual assault.
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