This study aims to evaluate elastic member buckling of slender columns in the multi-bay multi-story frame by the theoretical analysis. In consideration of the lateral restraint by other members of the frame, a buckling equation of the slender column is derived with the buckling slope-deflection method,and the relation between the lateral bracing stiffness and the effective length is investigated. Furthermore, lateral bracing stiffness and lateral bracing strength when the effective length of the slender column is equivalent to the one in non-sway buckling are calculated and are shown in figures.