The Sweeney Todd actress said they are so taken by the gruesome dentures she wears for her quirky films that they keep them in a cupboard.
She told Total Film magazine: 'We have an appreciation of bad teeth, me and Tim. I've got a whole cupboard full of them at home.'
The British star and Burton - who are parents to seven-year-old son Billy and three-year-old daughter Nell – famously live in adjoining houses, but Carter added that their lifestyle is not as out-there as people think.
'They think we're like the Addams Family,” she said. “But do you know what? I think that is all rather marvellous. The more myths that follow you, it's a more protective shell around you. I've got a happy relationship, I've got two beautiful kids and I'm having a lot of fun. We might not believe in hair brushes or combs but on the whole, fundamentally, our emotional make-up is the same.'