The Mad Men star made the remark in an interview with Elle UK.
"Whether it's Paris Hilton or Kim Kardashian or whoever, stupidity is certainly celebrated," he said. "Being a f**king idiot is a valuable commodity in this culture because you're rewarded significantly."
Taking to her Twitter page on Monday, Kardashian hit back at Hamm, saying that while she respects Hamm's right to free speech, she believes that the insults were unfounded and ultimately destructive.
"I just heard about the comment Jon Hamm made about me in an interview. I respect Jon and I am a firm believer that everyone is entitled to their own opinion and that not everyone takes the same path in life," Kardashian wrote.
"We're all working hard and we all have to respect one another. Calling someone who runs their own businesses, is a part of a successful TV show, produces, writes, designs and creates 'stupid' is, in my opinion, careless."
Kardashian's former husband Kris Humphries was recently reported to be demanding $7 million from the reality star in order to avoid a drawn-out public trial.