Morgan launched into the rant following a protest by global animal rights network DxE on Sunday. Around 20 vegan activists stood in front of the meat aisle in Waitrose in Brighton in a bid to raise awareness around animal suffering.
The Good Morning Britain host branded Brighton the 'home of mad vegans', accusing the activists of 'terrorizing old women'.
A statement by DxE about the Brighton action said: "Why is an aisle of dead animal bodies normal, but speaking out about blatant violence towards defenseless beings extreme?
"Christmas is a time for love, but we choose to celebrate it by taking the life of another, a completely unnecessary act that creates unimaginable suffering.
"This direct action shines a light on the forgotten victims of this festive season, the turkeys. You can't shop in peace when you're buying death."
But Morgan was enraged by the protest, saying: "You want to protest, come to my house with your little placards and start screaming at me and see how long you get on before I bring meat into the game. I am ready for you."
He added: "They [vegans] want everyone to be like them, it's a bit like the severe Brexiteers, the anti-Trump brigade, and the radical pro-Trump people.
"They want everyone to be like them, and if you're not, you must be exterminated."