The cameraman had been reportedly attempting to tell West how excited he was about a possible sequel to his 2011 Watch The Throne record with Jay-Z.
After his furious outburst, West "charged back at our photographer and ripped at our camera," according to the entertainment website.
Kanye has a previous history with TMZ cameramen.
He was arrested back in 2008 for "smashing" their equipment at LAX but the charges were later dropped.
Kanye has just become a father to baby North West by his girlfriend Kim Kardashian who is one of the most photographed women in the US.
Before North's birth, the rapper discussed his need for a private life.
"I just don't want to talk to America about my family," he told The New York Times.
"Like, this is my baby. This isn't America's baby."
- COVER MEDIA