Gharibabadi made the remarks at a meeting with Michelle Bachelet, the UN High Commissioner for Human Rights, in Geneva on Thursday.
He strongly condemned the desecration of the Muslim holy book and called on the Human Rights Council to take swift action to address the matter.
This act encourages violence and spreads hatred and has nothing to do with freedom of expression, the rights official said.
In a court-authorized act of sacrilege against the Muslim holy book, two men stood outside Stockholm's central mosque last Wednesday and burned a copy of the Quran, provoking widespread condemnations from the Muslim world.
Gharibabadi further criticized the prevalence of double standards within the UN human rights mechanisms and called on the Human Rights Council to uphold its core mandate.
He is leading Iran’s delegation at the 53rd session of the Human Rights Council, which started on June 19 and is scheduled to conclude on July 14.