The 18-year-old centre-back, who began his career with Southampton, joins the National League Spitfires, after being on trial during pre-season.
"I like the look of what I see," boss Richard Hill said. "I'm delighted to sign someone of his talent. especially with a number of league clubs looking to acquire his services."
Read represented Stoke's under-18 side in the Premier League competition.
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Eastleigh have signed teenage defender Harvey Read from Stoke City.