Kurt Westergaard said MP Geert Wilders should show his film, despite government warnings that this would damage Dutch interests.
He said that no Danish politician would dare to block the film.
Mr Westergaard's cartoons in a Danish paper triggered riots by Muslims in many countries in 2006.
"Wilders must show his film," Mr Westergaard told the Dutch Volkskrant newspaper on Monday.
"In Denmark, we have criticism of everything: the Queen, politicians, religion... provoking debate is the job of the newspaper and so also of the cartoonist. Muslims have to accept that.