Amash suggested that Ellis, a small-business owner who ran with the support of the Chamber of Commerce, is the kind of person he got into politics to stop.
"I ran for office ... to stop people who are more interested in themselves than doing what is best for their districts," Amash said. "Everyday Americans are taking back their government from the crooks and the cronies."
Amash, an Arab-American lawyer from a Christian family, was first elected to Congress in 2010. He had the support of the Club for Growth in the primary.
The nasty campaign included attacks on Amash's ethnicity.
Amash ignored the convention that primary rivals should publicly come together once the votes are in. He refused to take a concession phone call from Ellis.
"I'm an Arab-American, and he has the audacity to say I'm Al Qaida's best friend in Congress. That's pretty disgusting," Amash told WXMI, the Fox affiliate in Grand Rapids, after his speech.