A method for the production of a tool receiving device is disclosed. The method includes positioning at least one sleeve with at least one driving web on an outer circumferential surface of at least one component of a forming tool, inserting the at least one component of the forming tool into a cylindrical bore of the tool receiving device such that an outer circumferential surface of the sleeve bears on an inner circumferential surface of the tool receiving device, and exerting a force on the outer circumferential surface of the tool receiving device for forming the tool receiving device and for forming at least a partial region of the inner circumferential surface of the tool receiving device, on which bears the outer circumferential surface of the sleeve, so that a non-positive and positive locking connection is produced between the inner circumferential surface of the tool receiving device and the sleeve.