A　two-dimensional　finite　element　model　was　created　from　a　tomographic　image　of　the　aluminum　foams,　which　represents　the　cell　shape　and　geometric　distribution　of　real　foams.　To　determine　the　mechanical　properties　of　cell　wall　material,　the　uniaxial　stress　versus　strain　curve,　predicted　numerically　for　aluminum　foam,　was　fitted　to　that　measured　experimentally.　We　mainly　discuss　the　shock　wave　propagation,　the　inertial　effect　and　the　strength　of　the　stress　on　the　stationary　end　of　metallic　cellular　materials　under　high　speed　compression.　As　for　aluminum　foams　with　relative　density　0.3,　the　elastic　wave　speed　is　calculated　to　be　5　km/s,　whilst　the　plastic　wave　speed　increases　from　83　to　294　m/s,　with　the　compression　velocity　increasing　from　50　to　200　m/s.　Within　the　compression　velocity　range　of　50-100　m/s,　the　deformation　modes　change　from　random　mode　to　progressive　mode.　However,　no　distinct　critical　velocity　are　observed.　The　dynamic　locking　strain　increases　with　the　increasing　compression　velocity.　Second　compression　process　occurs　in　metallic　cellular　materials　when　the　plastic　wave　reflects　on　the　stationary　end.　Accordingly,　the　second　stress　plateau　appears　on　the　stationary　end,　which　increases　with　the　increasing　compression　velocity　due　to　inertia　effect.