It is aimed to provide a composite sheet manufacturing device and a composite sheet manufacturing method capable of maintaining high cutting performance of a cutter by suppressing the adhesion of an adhesive of an adhesive surface to the cutter. A first sheet (42) introduced to between a cutter roller (2) and an anvil roller (3) is cut into strips (42a) while these rollers (2, 3) are rotated relative to each other, adhesive surfaces (a) of the strips (42a) are adhered onto a second sheet (43) for compounding, and at least one of a cutter (12) of the cutter roller (2) and the anvil roller (3) is cooled by a refrigerant by a cooling unit (20, 21).