The moment came during a Good Day Orlando segment about Kylie Jenner's newest pet rabbit, who she named Bruce.
"I'm having a good Friday, so I refuse to talk about the Kardashians today," Brown said as he walked off the set. "You're on your own, Amy. I can't do it. I've had enough Kardashians."
Brown eventually rejoined his co-anchor, Amy Kaulfeldt, and sat through what looked like a painful minute and a half.
Watch: Jada Pinkett Smith Sounds off on Thongs and the Kardashians
"I don't care about this family," Brown said. "I'm sick of this family!"
The video clip has gone viral, with viewers praising his decision.
"Give that man a RAISE," one commenter wrote. "FINALLY someone with some sense!"
Brown later shared the video on his Facebook page, writing, "Sorry, I lost my mind a bit, although it was partially in jest! I did feel better though after I was done."