Blackface is a racist practice in which non-Black people paint their skin darker to resemble a Black person.
The removal of the sketch show, starring David Walliams and Matt Lucas, followed its removal from Netflix UK the week before.
The Polish iteration of the reality show has attracted criticism after its white performers impersonated Black artists such as Bill Withers by wearing prosthetics and facial make-up that amounts to blackface.
The Spanish TV series Your Face Sounds Familiar has almost 50 formats around the world and sees celebrity contestants impersonate musicians in televised performances.