U.S. House Speaker John Boehner also won re-election. In other races, former Democratic state Rep. Joyce Beatty was elected in the newly drawn 3rd Congressional District, and Democratic incumbent Marcy Kaptur beat Samuel "Joe" Wurzelbacher, the man who became known as Joe the Plumber during the 2008 presidential campaign.
Republicans secured enough seats to maintain their control in each chamber of the Ohio Legislature, according to unofficial results.
Democrats will have one of their biggest supporters back at the Statehouse next year after Ohio Democratic Party Chairman Chris Redfern won a House seat in northern Ohio.
The Ohio Supreme Court will have new faces, too, but the same makeup politically. Republican Sharon Kennedy, a Butler County domestic relations judge, unseated the lone Democrat, Justice Yvette McGee Brown, in a bid to serve an unexpired term through 2014. The court's new Democrat will be William O'Neill, a retired appeals court judge from Cleveland who beat Republican Justice Robert Cupp, of Lima.
Republican Justice Terrence O'Donnell, of Cleveland, defeated Democratic state Sen. Mike Skindell to keep his seat.
Ohioans rejected the two statewide issues on the ballot.
Issue 2 proposed that a 12-member commission of residents redraw congressional and legislative maps. Issue 1 asked voters if they'd like an Ohio Constitution convention to make changes.
Associated Press writers Ann Sanner, Julie Carr Smyth, John Seewer, Dan Sewell, Andrew Welsh-Huggins and Kantele Franko in Columbus contributed to this report.