The finite-element-models of the typical A-flute，B-flute and C-flute single corrugated board were established and the critical buckling loads of the corresponding finite-element-models were calculated. Taking the critical buckling load as the criteria of corrugated board compression capacity, the material compression efficiency, the structure and material contribution to each typical corrugated board on the compression strength were analyzed. The results show that the structure is the most crucial factor to improve the compression strength of the large flute corrugated board. Constraint conditions can greatly change the compression efficiency of corrugated paperboard.