Burchett beat out Franklin Patten on Tuesday in the district spanning parts of Atkinson, Lanier, Lowndes and Ware Counties.
The seat became available in November when Rep. Jason Shaw was appointed to the Georgia Public Service Commission by former Gov. Nathan Deal.
Unofficial results from the Georgia secretary of state show Burchett receiving just over 59 percent of votes, or 2,561 votes out of 4,319 cast.
Burchett and Patten easily beat out two Democratic opponents in a special election in February. A runoff was needed because neither received more than 50 percent of the votes.
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