An apparatus for governing the idling rpm of an internal combustion engine, in order to control a quantity of operating fluid to be delivered to at least two flow lines of the engine. According to the invention, the first valve closing member and the second valve closing member are disposed axially displaceably relative to one another and coupled via a slaving device in such a way that in the closing position of the first valve closing member, the second valve closing member is likewise closed, and the second valve closing member is adjustable in the valve opening direction only after attainment of a predetermined opening position of the first valve closing member. The closing properties of the apparatus can be adapted as required by means of the selection of the disposition and design of the springs that act upon the valve closing members. The apparatus is especially suitable for governing the idling rpm of a mixture-compressing internal combustion engine with externally supplied ignition, by controlling a quantity of operating fluid that is deliverable to the engine via a fuel metering device and an intake conduit.