An attached lid container has lids that are hinged to the top edges of the side walls of the container. When the lids are closed, the free edges of the lids engage one another to form a joint that interlocks the lids together. The lids are attached to the container at the hinge joints after the molding of the container and lids, while the molded parts are still in the mold press. Specifically, the lids are molded next to the container and then moved laterally to be aligned with the hinge line of the container after the mold cavity is withdrawn. Then, the ejectors push the lids out toward the container. The force of the outward movement causes the hinge parts of the lids and container to snap together. Subsequently a robot arm removes the container from the mold press with the hinged lids assembled on the container.