The measure passed by 77 votes in last month's election, with 6,003 votes counted.
Election director Sherril Huff said results will be certified Tuesday, but no changes were identified.
The recount was requested by Common Sense SeaTac, a business group that opposed the proposition. The measure also faces a court challenge, led by Alaska Air Group. It questions whether it has authority at the airport, which is operated by the Port of Seattle.
The SeaTac minimum wage campaign drew $1.8 million in spending in the small city, with national labor groups supporting higher pay and national business groups opposing.
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