Disasi, 25, offers defensive cover at Stamford Bridge after Wesley Fofana sustained a serious knee injury.
He played in all 38 of Monaco’s Ligue 1 games last season.
“I am really proud to be able to be a part of this great family,” Disasi told Chelsea’s website.
“I hope to achieve very big things here. To win titles. I will do everything I can to achieve those objectives. I am very ambitious.”
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