The station has been contacted by 60 viewers who were annoyed after a glitch prevented viewers from seeing Olympic gold medallist Katie Taylor collect her award.
Montrose chiefs were subsequently forced to issue an apology for the mistake.
"RTE have received 60 complaints regarding the matter," a spokeswoman from the station told the Herald.
She pointed out the programme attracted a large audience and reiterated the station's apology for the glitch.
The spokeswoman said all the complaints related to the Taylor segment, although there may have been two or three other queries about general issues.
The station said the incident would be thoroughly investigated.
However, when quizzed by the Herald, RTE was unable to give details on the outcome of the probe -- almost two weeks after the broadcast.
The live show from RTE's own studios on December 23 went to a commercial break, just as Katie (26) was accepting the top prize award from Sports Minister Leo Varadkar.
Viewers were shown an ad for L'Oreal at the time the boxing champ received the prestigious Sports Person Of The Year award. An uninterrupted version of the programme was later uploaded to the RTE player.
But that didn't stop the public from venting their anger.
A separate problem arose when RTE included Cork Archdeacon Michael O'Brien in its list of sports personalities and supporters who had died over the previous year -- even though he is still alive.
RTE's group head of sport, Ryle Nugent, tweeted: "RTE sports awards offers sincere apologies for the technical issue at the end of tonight's programme. We're investigating how it happened."
Bray boxer Taylor looked delighted as she was awarded a the accolade in a year of incredible achievements.
Stars from the world of sport put on the glitz at the ceremony at RTE studios before Christmas.