An endoprosthesis has a surface area which comprises a metal, a metal alloy, a ceramic, a platic material or a fiber-reinforced plastic material, and is uninterruptedly covered with a tissue-inductive or anticoagulant coating, at least partially. The surface area to which the coating is applied has been provided prior to that application with nanostructures having a height and a width in the range of 5 to 999 nm. A method for producing the endoprosthesis provides an endoprosthesis having these features.