A cylindrical alkaline storage battery comprising: an electrode group including a positive electrode, a negative electrode, and a separator; an alkaline electrolyte; a cylindrical battery case having: a side wall including an opening end portion; and a bottom, the battery case accommodating the electrode group and the electrolyte, and being connected to one of the positive electrode and the negative electrode; a sealing plate for sealing the opening end portion; an external terminal plate having a protrusion, the external terminal plate being arranged in contact with the sealing plate, and connected to the other one of the positive electrode and the negative electrode via the sealing plate; a gasket interposed between a peripheral edge portion of the sealing plate and an inner surface of the opening end portion; and a sealant for providing sealing between the gasket and the inner surface of the opening end portion, the side wall having: an annular groove portion that is open at an outer surface of the side wall, the groove portion being formed along the opening end portion so as to be adjacent to the opening end portion; and a curl portion where the opening end portion is curled inward; the curl portion, together with the side wall at a portion forming the groove portion, sandwiching the peripheral edge portion of the sealing plate to secure the sealing plate at the opening end portion of the battery case; in at least part of the groove portion, a groove width L1 being up to 0.2 mm; the sealant including a polyamide resin, wherein the polyamide resin has an amine value greater than or equal to 45 and less than or equal to 150. an electrode group including a positive electrode, a negative electrode, and a separator; an alkaline electrolyte; a cylindrical battery case having: a side wall including an opening end portion; and a bottom, the battery case accommodating the electrode group and the electrolyte, and being connected to one of the positive electrode and the negative electrode; a sealing plate for sealing the opening end portion; an external terminal plate having a protrusion, the external terminal plate being arranged in contact with the sealing plate, and connected to the other one of the positive electrode and the negative electrode via the sealing plate; a gasket interposed between a peripheral edge portion of the sealing plate and an inner surface of the opening end portion; and a sealant for providing sealing between the gasket and the inner surface of the opening end portion, the side wall having: an annular groove portion that is open at an outer surface of the side wall, the groove portion being formed along the opening end portion so as to be adjacent to the opening end portion; and a curl portion where the opening end portion is curled inward; the curl portion, together with the side wall at a portion forming the groove portion, sandwiching the peripheral edge portion of the sealing plate to secure the sealing plate at the opening end portion of the battery case; in at least part of the groove portion, a groove width L1 being up to 0.2 mm; the sealant including a polyamide resin, wherein the polyamide resin has an amine value greater than or equal to 45 and less than or equal to 150.