Perdue, who will face Democrat Michelle Nunn in the November general election, received 55.7 percent to Kingston's 44.3 percent in Paulding County.
The Republican nominee received 51 percent of the vote statewide.
About 6,880, or 9.3 percent, of Paulding County's registered voters turned out Tuesday to cast ballots, according to unofficial returns from the Paulding County Elections and Voter Registration office.
Paulding voters also chose Richard Woods over Michael Buck for the GOP nomination for state school superintendent, 52 percent to 48 percent.
However, the race statewide reportedly may go to a recount after Woods won with 50.1 percent of the vote to Buck's 49.9 percent, according to the Georgia Secretary of State's office.
Paulding voters also narrowly chose State Rep. Alisha Morgan of Austell over Decatur School Board chairwoman Valarie Wilson for the Democratic nomination.
However, Wilson won 54 percent of the vote statewide and will face either Woods or Buck in November.
The position was left vacant when Superintendent John Barge chose not to seek re-election this year so he could run for governor.
Most local nominees were chosen in the May 20 primaries.
In the November general election, several incumbents face Democratic challengers, including District 19 State Rep. Paulette Braddock, R-Powder Springs, who will face a challenge from Democrat Sandra Fuller.
District 31 State Sen. Bill Heath, R-Bremen, will face Democrat Charles Winter, while District 30 State Sen. Mike Dugan, R-Carrollton, will face Democrat James Nixon.
Also in November, Post 2 County Commissioner Todd Pownall will face a challenge from Democrat Patti Smith.