In recent years, plate-section member is used as the column of small buildings in order to express transparency. The purpose of this paper is to discuss the compressive buckling strength of plate-section columns with eccentric lateral support at the center of their length. This paper proposes the buckling strength of compressive member with eccentric lateral support. It is compared with elastic numerical eigenvalue analyses and inelastic large deformation analyses. The eccentric lateral support is useful for plate-section columns. Also this paper discusses the rigidity of support member and proposes the demand of rigidity, compared with the results obtained by the inelastic large deformation analysis.