Writing on her Instragram account, Bah Kuhnke said the "constant" attacks on art and artists are a "threat to freedom of expression and, ultimately, our entire democracy..."
The outdoor sculpture called Nimis, Latin for "too much", has partly burned down and police are investigating it as a possible arson. Vilks began building the wooden structure on Sweden's southwest coast back in 1980.
Vilks is best known for drawing cartoons of the Prophet Muhammad in 2007 that became the target of campaigns by some Islamic groups. He received death threats from extremists because of it and currently lives under police protection.
Speaking with news agency TT on Thursday Vilks said he considers the fire "a brutal form of art criticism" but he expects the installation to be restored.