To provide rectangular alkaline secondary battery capable of suppressing the occurrence of a deformation on a container at the time of caulk sealing and having improved sealing strength.

A power generating element is stored in a bottomed rectangular tubular container 1 having an opening section 1a and a step section 1b formed at the lower section of the opening section 1a, a sealing member 7 is arranged at the step section 1b of the container 1 via an insulating gasket 13, then this angular alkaline secondary battery is seal-caulked via diameter thrinkage of the opening section 1 a and the folding of the upper end of the opening section 1a. Beads 2 are formed along the height direction on faces along the long width of the container 1 except for the opening section 1a.