The work aims to study the influence of different flute-type corrugated structure materials under the quasi-static condition on the relevant mechanical properties in the corrugation direction. Based on the method of finite element simulation, the deformation patterns and stress-strain curves of corrugated structural materials of different flute types in the corrugation direction were obtained under the quasi-static compression conditions. Peak strength, densification strain, mean crushing strength and energy absorption per volume were comparatively analyzed in energy efficiency method. For the corrugated structural materials of same wall thickness, the peak strength, mean crushing strength and energy absorption per volume of the four flute types of A, C, B and E were successively increased. For the corrugated structural materials of any flute type, the peak strength, mean crushing strength and energy absorption per volume would linearly increase as the thickness increased. The growth rates of peak strength, mean crushing strength and energy absorption per volume of the four flute types of A, C, B and E were successively increased with the increase of wall thickness. The flute type has a significant influence on mechanical properties of the corrugated structure materials in the corrugation direction. Under the same conditions of other factors, the mechanical properties of the four flute types of A, C, B and E are successively enhanced.