An automatic cigarette maker comprises a case that is provided with a container therein. The container has an opening at the top thereof. The tobacco leaves in the container are pushed out of a tobacco supply duct by a feeding module. A rotary disc is connected with one end of a linkage arrangement and is provided with a plurality of tubes that are arranged in a form of circular array. Each tube is provided with a cigarette paper therein. Thereby, when the linkage arrangement moves the rotary disc backward relative to the container, a tube covers the tobacco supply duct for filling tobacco leaves. When the rotary disc is moved forward, a cigarette paper is fully filled with tobacco leaves. When being moved relative to the container forward and backward once, the rotary disc is rotated at a constant angle. Consequently, the tubes can cover the tobacco supply duct one after another and tobacco leaves can be filled into each cigarette paper in sequence.