A cigarette making apparatus comprises an application nozzle for applying a flavoring material to a wrapping-paper web supplied continuously to a wrapping machine, a pump for supplying the flavoring material to the application nozzle, and a pump control device for controlling the pump driving speed depending on the wrapping machine operating speed. The pump control device divides the wrapping machine operating speed into a plurality of speed regions and determines an approximation pump characteristic which approximates a relationship between the pump driving speed and the rate of discharge of the flavoring material from the pump in each of the speed regions, in advance, and determines the speed at which the pump should be driven, depending on the wrapping machine operating speed, according to the approximation pump characteristic. Consequently, the flavoring material is applied to the wrapping-paper web in an appropriate amount depending on the wrapping machine operating speed.