A control system for an incineration plant, such as for instance a refuse incineration plant, comprising an incineration furnace with an inlet for supplying material to be burned, an outlet for discharging burned material, a combustion path extending between the inlet and the outlet, and along which, in use, the material is transported in a direction of transport from the inlet to the outlet for combustion of the material, and air supply means for supplying air to the combustion path, the incineration plant further being provided with a steam generator for generating steam by means of heat generated in the furnace and control means comprising a steam controller and an oxygen controller which, depending on respectively the amount of steam generated by the steam generator and the amount of oxygen in the furnace, generate one or more control signals for adjusting the size and/or speed of a supply stream of the amount of material respectively to and through the furnace and/or for adjusting the amount of air supplied to the furnace by means of the air supply means, the control means adjusting the control signals such that the steam generator generates an amount of steam per time unit which optimally corresponds with a first predetermined adjusting value, and that the air supply means supply such an amount of air that an amount of oxygen is contained in the furnace which optimally corresponds with a second predetermined adjusting value, characterized in that the output signal of the steam controller is supplied to a summing device for forming a sum signal which is used to modify via corresponding calculating means the output signals of control circuits controlled by the output signal of the oxygen controller for the air supply to the furnace and/or the size of the supply stream of material to the furnace and the speed of the stream of material through the furnace respectively, to obtain definitive control signals.