A tissue wipe container , comprising a case which stores therein a roll of tissue wipes (P) with perforations and which is provided with a dispensing unit for pulling out the stored tissue wipes (P) to an outside upon being separated along the perforations, and a lid attached to the case in such a manner as to expose and cover the dispensing unit , wherein the dispensing unit has an engaging part for engaging the dispensing unit with the case , and has a flat plate part having one or more cuts made thereinto that serve as an opening through which the tissue wipes (P) are passed, wherein the flat plate part includes a plurality of flexible parts , which are elastically deformable and separated from each other by the one or more cuts, and each of which has a distal end situated toward a center of the opening and a proximal end situated away from the center of the opening , wherein the engaging part has a constricted portion formed in a side surface of the dispensing unit at a center in a vertical direction along a circumferential direction, an edge of a mount opening of the case being inserted into the constricted portion to cause the engaging part to be engaged with the mount opening , whereby the engaging part has an upper annular portion situated at an upper side of the constricted portion and a lower annular portion situated at a lower side of the constricted portion , characterised in that the plurality of flexible parts are such that a thickness of the distal end is thinner than a thickness of the proximal end, and in that at least one of the upper annular portion and the lower annular portion has notches (112b2), so that the constricted portion is formed at intervals in the circumferential direction without covering an entire circumference. wherein the dispensing unit has an engaging part for engaging the dispensing unit with the case , and has a flat plate part having one or more cuts made thereinto that serve as an opening through which the tissue wipes (P) are passed, wherein the flat plate part includes a plurality of flexible parts , which are elastically deformable and separated from each other by the one or more cuts, and each of which has a distal end situated toward a center of the opening and a proximal end situated away from the center of the opening , wherein the engaging part has a constricted portion formed in a side surface of the dispensing unit at a center in a vertical direction along a circumferential direction, an edge of a mount opening of the case being inserted into the constricted portion to cause the engaging part to be engaged with the mount opening , whereby the engaging part has an upper annular portion situated at an upper side of the constricted portion and a lower annular portion situated at a lower side of the constricted portion , characterised in that the plurality of flexible parts are such that a thickness of the distal end is thinner than a thickness of the proximal end, and in that at least one of the upper annular portion and the lower annular portion has notches (112b2), so that the constricted portion is formed at intervals in the circumferential direction without covering an entire circumference. <EOS>