But West ordered him to make a public apology and said Kimmel's life would be "much better" if he did so, Kimmel said, adding that West also called himself the most powerful voice in media.
Then came more than a half-dozen tweets posted on West's official Twitter site. One called Kimmel out of line for spoofing what West called "the first piece of honest media in years," and another referred to photographers trying to get shots of West's baby daughter with Kim Kardashian.
"Jimmy Kimmel, I don't take it as a joke. ... You don't have scum bags hopping over fences trying to take pictures of your daughter," West tweeted. Other tweets used profanity and coarse language, while one mocked Kimmel by saying his former girlfriend Sarah Silverman is funnier than him.
"Finally, I'm in a rap feud. I always wanted to be in a rap feud," a smiling Kimmel said.
Representatives for Kimmel in Los Angeles and West in New York didn't immediately respond to requests for comment made early Friday, outside of business hours.