Education Minister Caitriona Ruane has been reported to the police after she praised IRA hunger striker Bobby Sands.
Ms Ruane made the comments during a speech at a prize-giving ceremony at St Colm's High School in Twinbrook last week.
The complainant claimed the Sinn Fein member's remarks breached the law on glorifying terrorism.
Police confirmed a complaint had been made but it had not been established that an offence was committed.
A PSNI statement issued on Saturday read: “We do not comment on individuals. However, we can confirm a complaint of this type was made this evening at Antrim police station and it will be examined.”
Ms Ruane told pupils they should be thankful hunger striker Sands paved the way for a better future for them.
DUP deputy leader Nigel Dodds described the remarks as “appalling”. Sinn Féin said whoever made the complaint was wasting police resources.