Anthony Stewart was the subject of alleged racist abuse on social media.
Stewart, who was sent off as Aberdeen lost to St Mirren on Saturday, responded to a comment on his social media accounts.
He took full responsibility for his mistake, which cost the team three points.
I will not tolerate racism lightly.
Mark O'Hara's penalty went in off Kelle Roos, who was the goalkeeper, after centre-half Stewart hauled back Jonah Ayunga.
Aberdeen supported their player on Tuesday.
We are shocked by the racist abuse aimed at our captain, Anthony Stewart, and we condemn all forms of discrimination.
Anthony has our full support and as a club we are currently investigating to try and identify the person who did this.
Aberdeen FC is free from discrimination and will not tolerate it.
The 30-year-old Londoner moved to Aberdeen.
Despite a third consecutive defeat, Aberdeen is still third in the Scottish Premiership.