The veteran journalist and America's Got Talent judge insists Madonna won't be invited onto the show as he doesn't feel she is still relevant.
"She's so boring," Morgan told PopEater. "She is too vegan for TV."
He added: "We have Lady GaGa now so Madonna is banned from my show."
Madonna's publicist Liz Rosenberg reportedly responded to Morgan's attack by suggesting that the singer doesn't even know who Morgan is, but that "she's a big fan of Lady GaGa".
Morgan will take over from Larry King in a currently untitled show which will begin airing on CNN in January 2011.