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Hannity made the comments on his nationally syndicated radio program while explaining to his audience that the post-election "fight" is "coming next."
"Glenn Beck was saying, 'Oh, we got to all come together after the election.' I'm not interested in coming together with a bunch of saboteurs," Hannity said. "I just have no interest in that. And people that are myopic."
Hannity knocked Beck, saying he was "sick and tired" of being lectured by "a guy that gives a Nazi analogy a day."
"One of the cohorts on his show compared me to a Nazi not that long ago," Hannity said, though it was not clear exactly what he was referencing. "Then he goes on air and says, 'I've never said anything about Sean Hannity.' I watched it!"
"I've watched them talk about me, tear apart my monologues for one hour," the Fox News host added. "I don't know what the hell he's talking about. You know, but you know. You live with it. You live with her Supreme Court justices."
Hannity's producer chimed in, telling him to "just remember" that Beck "is a man who shoved his face in Cheetos," a reference to a stunt Beck once did on his program.
"Always remember that," she said. "Whenever you feel in doubt about the sanity of this person that was once a friend. Maybe if he wants to come together he should have thought about that before he started name calling like a five-year old."
"Listen, it doesn't bother me," Hannity insisted. "I expect - I have been called any and every name that you could ever think recall of somebody. I mean there's a lot I could say about him and all these other people that I don't say."
The Fox News host then rattled off his typical talking points aimed at shaming conservatives who refuse to back Republican nominee Donald Trump.
"You sabotage, you stay home, you help her, and you own her Supreme Court nominees, you own her un-vetted refugees, you own radical Islam being empowered because they know she's weak," he said, referring to Democratic nominee Hillary Clinton.
"You own every single thing every new illegal immigrant does in this country," he continued. "You own a horrible educational system. You own the coal miners that will be fired and the call companies that will be put out of business. You own Obamacare. And I'm standing by it."
Hannity first laced into Beck in late August for declining to support Trump, characterizing the talk-show host as someone who is on a "holy war" against the real-estate tycoon.
Trump's ascension inside the Republican Party has forced a sharp divide inside the conservative news media. Hannity, Matt Drudge, Ann Coulter, and the website Breitbart have found themselves at odds with Beck and more traditional conservative news outlets over their support for the billionaire in this election cycle.