The primary runoff elections will be held on Tuesday, July 22, with polls to be open from 7 a.m. to 7 p.m.
Voters who participated in the May 20 primaries can vote only in the runoff election for the party in whose primary they voted.
Republicans will choose between David Perdue and Jack Kingston for their nominee for the U.S. Senate seat now held by Saxby Chambliss; and between Michael Buck and Richard Woods for their nominee for state school superintendent.
Democrats will select either Valarie Wilson or Alisha Thomas Morgan as the party nominee for state superintendent of schools.
The results will determine the ballot for the general election on Tuesday, Nov. 4.