The present invention relates to a drug-eluting medical device, in particular a balloon for angioplasty catheters with drug elution to prevent the restenosis of the vessel subjected to angioplasty. More particularly, the present invention relates to a catheter balloon completely or partially coated with paclitaxel in hydrated crystalline form or in hydrated solvated crystalline form, having an immediate release and bioavailability of a therapeutically effective amount of paclitaxel at the site of intervention. The balloon can be made of a polyether-polyamide block copolymer, or a polyester amide, or polyamide-12.