The Danish government said it would seek to make legal changes that will ban Quran burnings.
"We can see how Russia-backed actors are amplifying incorrect statements such as that the Swedish state is behind the desecration of holy scriptures," Carl-Oskar Bohlin said.
Egypt summoned Sweden's chargé d'affaires to condemn incidents where copies of the Koran have been burned, the foreign ministry spokesperson said on Tuesday.
Iraq condemned the burning of a copy of the Koran in front of its embassy in Denmark.
The 32-year-old said he had received permission to burn the Jewish texts simply to draw attention to the issue of Sweden allowing people to burn to Quran.
While Western states voice concerns about freedom of speech, the Organization of Islamic Cooperation is expected to bring its considerable influence in the UN to bear on the issue.
Kristofer Kearney, a Liverpool resident, ran a channel called "Fascist Fitness," where he shared considerably offensive material - plus fitness tips.