WXIA-TV Atlanta. Gov. Kemp announces he will not run for Senate. Posted: May 5, 2025 | Last updated: May 5, 2025. Brian Kemp, Georgia's two-term Republican governor, will not run for Senate in 2026.

Georgia Gov. Brian Kemp says he is passing on running for the senate in next year's midterm elections, a blow to Republicans who spent months courting him to challenge Democratic incumbent.