The publisher of Danish magazine, Cover, Malene Malling called it a 'sad day' after online backlash and anger over the decision to feature Lululeika in a fashion feature.
The picture was originally posted on Reddit where many users rushed to comment on the appearance of the 16-year-old model whose full name is Lululeika Ravn Liep.
One named 'Keepitgoinglouder' said: 'I totally understand that in fashion, clothes tend to "hang" better on slender frames but this is taking it way too far.
'Not only does she look like a skeleton, her whole complexion and facial expression makes it seem like she is near death. Glad to hear the editor took responsibility for this poor choice.'
Another named 'Lincolnparkafterdark,' said: 'I genuinely don't understand how a look this emaciated can be considered beautiful or fashionable or sexy in any country/culture.
'This poor girl clearly needs help. It's obvious she's not healthy. It's so detrimental to young girls around the world to glamorize eating disorders.'
Indeed, many have been quick to point out that the model herself should not be the subject of the negative comments.
Her agency Scoop have been quick to defend her saying: 'The model is in a bad time in her life after losing two members of her family.
'So we ask that all comments are made with respect and without calling [her] sick, because it is not.'
Lululeika has also previously worked for French fashion house Louis Vuitton. She modeled their SS15 collection in Paris in October.
After the apology was posted to the magazine's Facebook many of their readers were still not happy.