The Facebook post comes as a reaction to a decision by the Skovgaard Museum in Viborg, Denmark, not to include the drawing in a new exhibition about blasphemy since the Reformation.
"It is the museum's own choice and they have their full right to do it, but I think it's a shame," said Inger Stojberg, minister for immigration and integration, in her Facebook post.
Stojberg said in the post she uses the cartoon as her background screen because it reminds her that Denmark is a country with freedom of speech, which includes the right to criticise religions.
Three Danish embassies were attacked and at least 50 people were killed in rioting in 2006 in the Middle East, Africa and Asia, after blasphemous drawings of the Prophet Mohammed (PBUH) were published in the Danish newspaper Jyllands-Posten. The picture posted on Monday by the minister was one of those cartoons.
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