Up for grabs were two at-large Aiken City Council seats and a District 4 seat.
Stuart Bedenbaugh, the executive director of Aiken County Registration and Elections, said late Tuesday that the unofficial results, still to be certified, showed there's no need for a runoff.
The at-large seats went to the two top vote-getters: Steve Homoki, with 1,791 votes, and incumbent Don Wells, with 1,661.
"I'm just overwhelmed," Mr. Homoki said. He said he was impressed with how cordial the election was.
Mr. Wells said he appreciated Aiken voters turning out to select him for another four-year term, beginning in November.
"I was truly humbled because there was an excellent field of candidates," he said Tuesday.
Also in the field were Kent Cubbage, who took 1,539 votes, and Liz Stewart, who received 1,112.
Winning the District 4 seat, which is being vacated by Richard Smith, was Reggie Ebner, who carried 1,232 votes to challenger Allen Brodie's 319.
"As the new District 4 councilman, I will work with the city council members and other citizens to 'Keep Aiken a Best Place to Live,' " Mr. Ebner said in an e-mail.
None of Tuesday's winners face opposition in the Nov. 3 general election, and therefore they won't be required to run in that contest unless write-in candidates file to run by an October deadline, Mr. Bedenbaugh said.
Tuesday's voter turnout was 16.5 percent of Aiken's roughly 19,500 registered voters.
Reach Preston Sparks at (803) 648-1395, ext. 110, or email@example.com