The controversial former judge made the representation through his counsel Mathews J Nedumpara.
"A representation seeking remission of the six-month jail term awarded to Justice (retd) Karnan was presented to the President's office today," Mr Nedumpara told PTI over the phone.
"We will be seeking an audience with the President in this regard as soon as possible," he said, adding "We are in touch with the President's office." The representation was made under the Article 72 of the Constitution.
He was arrested from Coimbatore in Tamil Nadu on June 20 and is presently lodged in the Presidency Correctional Home in Kolkata.
He became the first sitting high court judge in the history of the Indian judiciary to be awarded a jail term by the Supreme Court.