Fuller won with 54% of the vote compared to Democrat Shawn Harris, who secured 46% at time of publishing, with 45% of the vote counted.
Fuller and Harris placed in the top two positions in a March special election, leading to Tuesday's runoff. The district is heavily Republican and Fuller was the solid favorite to win the seat.
Fuller's arrival in Congress is expected to prove a boost to House Speaker Mike Johnson, who has struggled to maintain unity within the narrow Republican majority.
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