He called social democrat politician Nalin Pekgul, who has Kurdish roots, a "klappturk" or "applauding Turk" in an online discussion, TT reports.
The phrase has been used before in racists threads on the net to describe Pekgul.
The official apologised immediately and deleted the offending tweet, but party bosses have decided to suspend him, while his future is discussed.
Party press officer Jesper Wigardt told TT, "It was an unsuitable comment. He didn't mean anything bad by it, but it was unfortunate."