Independent Councillor Jackie Healy-Rae and his brother Kevin are to appeal their convictions for assaulting a man in Kenmare, Co Kerry in 2017.
The two men, of Sandymount, Kilgarvan, are sons of Independent Kerry TD Michael Healy-Rae.
They were given suspended jail sentences of eight months and seven months respectively for assaulting Englishman Kieran James, who was visiting Kenmare over Christmas that year.
A third co-accused, Malachy Scannell, of Inchinacoosh, Kilgarvan, is also appealing his conviction for the attack.
He was given two sentences of six months in jail, which were also suspended.
All three men had denied the charges against them.
The men's solicitor, Padraig O’Connell, confirmed that appeals have been lodged against "both conviction and sentence" in all three cases.
