The relation between compressive strength and density of honeycomb core was derived based on the theory of cylindrical shell buckling. The compressive strength should increase as a function of density of honeycomb core. The equation was applied to aluminum, aramid and polyimide honeycombs. Compressive strength increased as expected by the theory. For polyimide and aramid honeycombs, the experimental strength was coincident with that by the theory. However, for aluminum honeycomb, the strength in experiment was smaller than the calculated one. This result is caused by the localized failure at both ends of the honeycomb core.