Cyrus' outburst comes a day after Midler took aim at Kardashian following the posting of her latest nude selfie.
The Beaches star claimed the only way the mother-of-two could show off a part of herself that the internet hasn't seen is if she swallowed a camera.
Kardashian immediately hit back, claiming Midler was a "fake friend", before joking she should send some nude pictures of her own.
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The socialite's tweets prompted speculation her outspoken husband Kanye West was behind the social media rant, but Kardashian was quick to confirm the messages had come from her, writing: "Wait I can't believe people thought Kanye or (sister) Khloe hacked my Twitter. I swear I'm funny too."
Midler, who is also known for her quick wit, didn't hesitate in firing back at Kardashian, posting on Twitter: "@KimKardashian: I never tried to fake friend you. Looks like anyone can take a selfie but not everyone can take a joke..."
- AAP