Provided is a method and device for batched compression molding of rubber and plastic products by means of multiple mold cavities, including alternating operation of a blank shuttle and a male mold that is in a bottle cap mold, being controlled by means of engagement of two partial gear sets. Mold opening motion, isostatic pressing energy storage, and spring energy storage are implemented by means of the engagement characteristic of the partial gear sets, and mold closing and compression molding are implemented by means of the non-engagement characteristic, isostatic pressing energy storage, and pressurization of the partial gear sets. The method and device effectively resolve the general problem of low production efficiency and poor precision and stability of existing compression molding cap manufacturing equipment.