The 23-year-old Italian arrives at Elland Road having signed a four year deal with the club.
Silvestri, who is a former Italy U-20 and U-21 international, started his career at Modena in Serie B and in 2010 he made the step-up to Serie A with Cheivo.
While at the Serie A side the goalkeeper had loan spells at Reggiana, Padova and most recently at Cagliari this past season.
He becomes United’s second signing of the summer after fellow keeper Stuart Taylor put pen-to-paper last week.
United head coach David Hockaday said: “Everybody in Italy believes that Marco is destined for very big things. We are delighted to welcome him to Leeds.
“He has been training with us for a week now and he has impressed everybody. Not only with his quality on the park but with his general manner off it as well.
“So are we delighted to welcome a very good person and footballer to Leeds United.”
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