Cheney, an outspoken Trump critic and a member of the Democrat-led House Jan. 6 select committee, lost to challenger Harriet Hageman by a margin of 59-6.
Trump endorsed Hagemen in September.
The GOP former president had long criticized Cheney of being a war hawk. But he became increasingly incensed with her following the January 6, 2021, riot at the U.S. Capitol Building because she was on of several House Republicans who voted to impeach him over the matter.