A rectangular thin panel conveyance unit, comprising: a plurality of sets of four corner modules, each corner module having a support surface adapted to support a corner portion of a rectangular thin panel from below; and a plurality of vibration suppressing bodies for the rectangular thin panels in a fixed shape, wherein each vibration suppressing body has a thickness that is equal to or less than a distance between an inferior surface of an upper rectangular thin panel and a top surface of a lower rectangular thin panel when the corner modules are stacked in a columnar shape in a vertical direction at each corner portion such that the plurality of rectangular thin panels is stacked in the vertical direction, said upper rectangular thin panel and said lower rectangular thin panel being adjacent to each other in the vertical direction, each vibration suppressing body being disposed between the top surface of a lower rectangular thin panel and the inferior surface of an upper rectangular thin panel such that the vibration suppressing body faces a planar portion of each of the rectangular thin panels to restrict an amplitude of a vibration of the rectangular thin panels in the vertical direction within a predetermined range, the vibration being caused by conveyance of the plurality of stacked rectangular thin panels, and each vibration suppressing body includes a contact portion for the planar portion of a rectangular thin panel, wherein each vibration suppressing body is made of resin in an elongated shape, characterized in that each vibration suppressing body is longer than a short side of the rectangular thin panels, each vibration suppressing body has a concave portion on an upper side or a lower side of each end portion of the vibration suppressing body, the concave portion extending throughout the width of the vibration suppressing body, each vibration suppressing body has a convex portion on the lower side or the upper side of each end portion of the vibration suppressing body, the convex portion extending throughout the width of the vibration suppressing body, the convex portion having a shape complementary to the concave portion, and movement of an upper vibration suppressing body relative to a lower vibration suppressing body in a longitudinal direction is restricted by fitting the concave portion or the convex portion of said upper vibration suppressing body to the convex portion or the concave portion of said lower vibration suppressing body. a plurality of sets of four corner modules, each corner module having a support surface adapted to support a corner portion of a rectangular thin panel from below; and a plurality of vibration suppressing bodies for the rectangular thin panels in a fixed shape, wherein each vibration suppressing body has a thickness that is equal to or less than a distance between an inferior surface of an upper rectangular thin panel and a top surface of a lower rectangular thin panel when the corner modules are stacked in a columnar shape in a vertical direction at each corner portion such that the plurality of rectangular thin panels is stacked in the vertical direction, said upper rectangular thin panel and said lower rectangular thin panel being adjacent to each other in the vertical direction, each vibration suppressing body being disposed between the top surface of a lower rectangular thin panel and the inferior surface of an upper rectangular thin panel such that the vibration suppressing body faces a planar portion of each of the rectangular thin panels to restrict an amplitude of a vibration of the rectangular thin panels in the vertical direction within a predetermined range, the vibration being caused by conveyance of the plurality of stacked rectangular thin panels, and each vibration suppressing body includes a contact portion for the planar portion of a rectangular thin panel, each vibration suppressing body is made of resin in an elongated shape, characterized in that each vibration suppressing body is longer than a short side of the rectangular thin panels, each vibration suppressing body has a concave portion on an upper side or a lower side of each end portion of the vibration suppressing body, the concave portion extending throughout the width of the vibration suppressing body, each vibration suppressing body has a convex portion on the lower side or the upper side of each end portion of the vibration suppressing body, the convex portion extending throughout the width of the vibration suppressing body, the convex portion having a shape complementary to the concave portion, and movement of an upper vibration suppressing body relative to a lower vibration suppressing body in a longitudinal direction is restricted by fitting the concave portion or the convex portion of said upper vibration suppressing body to the convex portion or the concave portion of said lower vibration suppressing body.