A condensate evaporator with an electrically heatable accommodation chamber for water of condensation which is produced in a cooling device and is to be evaporated. A design which is as compact and simple is achieved because the accommodation chamber is formed by a tube section on whose outer face at least one heating element which is in thermal contact with the tube section is arranged and at one end of which an inlet for the supplied water of condensation is arranged and at an other end of which an outlet for the steam which is produced from the water of condensation by the heating element is arranged. This invention also relates to a cooling device, in particular for a switchgear cabinet, having a condensate evaporator according to this invention.