Djurs Sommerland in central Denmark opened the area in 1993 and said that up until this week, when an anti-racism group launched a petition, it had received no criticism for its Africa-themed rides.
The "Hottentot Carousel" - which uses a derogatory name for the Khoikhoi ethnic group - rotates around an outsized black man with thick lips, earrings and a bone through his hair, who is armed with a spear and a brightly coloured shield.
"Your 'Cannibal Pot' ride adds to an oversimplified image of Africans as uncivilised and primitive," it added.
The park's chief executive, Henrik Nielsen, said that although he respected that "people have different views", no changes would be made to the rides.
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"We won't change the names of the two rides in Djurs Sommerland that have been there for more than 20 years and by no means aim to offend anyone," he told AFP.
Some of the comments were overtly racist.
The right-wing Jyllands-Posten daily, which in 2005 published 12 cartoons of the Prophet Mohammed that triggered violent protests in some countries, accused the Everyday Racism Project DK of seeking attention.
"What do you do when you want to draw attention to your organisation? You find something to be offended by," it said in an op-ed.