US comedienne Griffin often mocks the Palin family, including former Dancing with the Stars contestant Bristol Palin, who Griffin has in the past called out for her weight gain.
And now Palin, 47, has hit back in an interview on Fox News, after being asked how she feels about Kathy's frequent mocking of her and her family.
She said: 'Kathy Griffin can do anything to me or say anything about me, because you know, she is kind of this - she is a 50-year-old adult bully is really what she is.
'She's kind of a has-been comedian and she can do those things to me. I would just ask for respect of my children. As she had stated on CNN that her New Year's resolution was to destroy my 16-year-old daughter, and that takes it a little too far.'
Palin added: 'Kathy, pick on me, come up to Alaska and pick on me, but leave my kids alone.'