An apparatus for molding a honeycomb structure provided with an extruder for the honeycomb structure capable of extruding a honeycomb structure in the gravity direction or an oblique direction at an angle of smaller than 30.degree. with the gravity direction and at least one cradle, said apparatus being provided with a means of being able to place the honeycomb structure extending in length with progress of extrusion on the cradle with cell opening end face 9 of the honeycomb structure being pressure contacted with the cradle under a pressure smaller than the compressive strength at the end face and then to move the cradle at a speed capable of keeping the pressure contact state and in the same direction as the lengthwise direction of the honeycomb structure.