Viewers were shocked as the man ran on stage holding a poster saying "In the name of the father".
It is alleged that the man is part of the Justice for Fathers campaign and shouted "justice for fathers".
Justice for fathers campaigns to give equal rights to fathers after divorce.
The broadcast was interrupted for several minutes while the intruder was removed.
Let’s hope the Cavan Rose isn’t too upset by the interruption.
Fathers4Justice just stormed #RoseofTralee— Fathers4Justice (@F4JOfficial) August 22, 2016