An apparatus for stacking and feeding sheet products discharged successively from a discharge position, the apparatus stacking the sheet products on a feed conveyor and feeding the sheet products toward a downstream side, the apparatus comprising: a feed conveyor; a carriage disposed on the downstream side from the discharge position in a feed direction of the sheet products; a plurality of shutter bars disposed above the feed conveyor and between the discharge position and the carriage, the shutter bars being spaced from each other in a lateral direction and configured to move vertically in such a manner that downstream ends of the sheet products collide against the shutter bars when being discharged; a plurality of protrusion bodies supported on the carriage and spaced from each other in the lateral direction in such a manner that each of the protrusion bodies passes through between each of the shutter bars and protrudes toward an upstream side thereof, the protrusion bodies standing by above the sheet products stacked on the feed conveyor; a first drive mounted on the carriage, the first drive being configured to lower the protrusion bodies in such a manner that the sheet products are nipped between the protrusion bodies and the feed conveyor after a predetermined number of the sheet products are stacked on the feed conveyor; and a second drive configured to move the carriage toward the downstream side after the sheet products are nipped, wherein the second drive is operated in conjunction with the feed conveyor so as to feed the sheet products nipped between the protrusion bodies and the feed conveyor toward the downstream side, the apparatus being characterized in that coming sheet products are stacked on the protrusion bodies from the discharge position without interruption and lower ends of the shutter bars are kept on a higher position than upper ends of the nipped sheet products and on a lower position than upper ends of the protrusion bodies while the sheet products are nipped, and the shutter bars are lowered toward an upper surface of the feed conveyor when upstream ends of the sheet products are passed over the downstream side from the shutter bars. a feed conveyor; a carriage disposed on the downstream side from the discharge position in a feed direction of the sheet products; a plurality of shutter bars disposed above the feed conveyor and between the discharge position and the carriage, the shutter bars being spaced from each other in a lateral direction and configured to move vertically in such a manner that downstream ends of the sheet products collide against the shutter bars when being discharged; a plurality of protrusion bodies supported on the carriage and spaced from each other in the lateral direction in such a manner that each of the protrusion bodies passes through between each of the shutter bars and protrudes toward an upstream side thereof, the protrusion bodies standing by above the sheet products stacked on the feed conveyor; a first drive mounted on the carriage, the first drive being configured to lower the protrusion bodies in such a manner that the sheet products are nipped between the protrusion bodies and the feed conveyor after a predetermined number of the sheet products are stacked on the feed conveyor; and a second drive configured to move the carriage toward the downstream side after the sheet products are nipped, wherein the second drive is operated in conjunction with the feed conveyor so as to feed the sheet products nipped between the protrusion bodies and the feed conveyor toward the downstream side, the apparatus being characterized in that coming sheet products are stacked on the protrusion bodies from the discharge position without interruption and lower ends of the shutter bars are kept on a higher position than upper ends of the nipped sheet products and on a lower position than upper ends of the protrusion bodies while the sheet products are nipped, and the shutter bars are lowered toward an upper surface of the feed conveyor when upstream ends of the sheet products are passed over the downstream side from the shutter bars.