The invention relates to a razor, especially for wet shaving, comprising a member that is provided with a handle region (10), a head region (14), and a neck region (12) located between the handle region (10) and the head region (14), as well as functional parts which are disposed at least in part within the member and encompass an electrically operated vibrating mechanism (20) for generating vibrations in the head region and a power supply unit for the vibrating mechanism (20), said power supply unit comprising an energy store (24). According to the invention, the member is composed of at least one hard component (16) that is used as a solid support and at least one injection-molded soft component (18). At least some of the functional parts are at least partly extrusion coated directly with the soft component (18). The invention also relates to a method for producing such a razor.