A machine for folding and gluing folding boxes has a first folding station and at least one second folding station that follows downstream. Machine components are provided which can be positioned transversely and which contain conveying elements for blanks for the folding boxes and at least one adhesive application unit. The machine further has actuating drives for positioning the machine components, and a rotary station which is disposed downstream of the first folding station and upstream of the second folding station. The rotary station has a fixedly disposed transport device for the blanks. A controller controls the actuating drives of the machine components which are provided in front of and behind the rotary station and which can be positioned transversely, as a function of the type of folding boxes that is to be produced.