Nancy Grace To Face Judges ... On "DWTS"

Nancy Grace may actually suck up to judges -- rather than go after them -- in the next few months, because she's signed on to "Dancing with the Stars" ... TMZ has learned.

We're told Grace and her partner met for the first time in Atlanta last week. This could be another Kate Gosselin situation, where Nancy practices in Atlanta so she doesn't miss her TV show ... then travels to L.A. once a week for the live performance.