The race was the closest of any in Virginia this year.
State-certified tallies in November had Boysko trailing Rust by just 54 votes, out of more than 21,000 cast in the district, which encompasses Herndon and parts of Oak Hill and Sterling.
After the recount, she was down just 32.
The final totals were: Rust with 10,410, and Boysko with 10,378.
Boysko issued a statement just before 6 p.m. Thursday.
"I'd like to congratulate Tom Rust and wish him a successful term in the House of Delegates," she said.
As for the recount, Boysko said, "It was important for so many people that we took this time to assure that all votes were counted and everyone's voice was heard in this very close election."
Boysko, a former aide to Fairfax County Supervisor John Foust, who also previously worked with Howard Dean, launched her campaign in January, and won the Democratic nomination in the June primary with more than 77 percent of the vote.
"It was an honor to be the Democratic nominee and I appreciate having the opportunity to discuss those issues that matter to all of us during the past year with the voters in the 86th District," she said Thursday.
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