©　2018　-　IOS　Press　and　the　authors.　All　rights　reserved.　Aluminum　foam　is　a　functional　material　which　is　highly　porous　with　cells　of　stochastic　geometry.　In　distinction　to　polymer　foam,　aluminum　foam　is　electrically　conductive　and　has　typical　applications　in　many　engineering　areas.　Optimal　design　and　manufacture　of　foam　structure　usually　require　detailed　understanding　of　the　electrical　property　of　the　aluminum　foam.　In　this　study,　a　three-dimensional　finite　element　numerical　model　based　on　the　statistic　characteristics　of　the　geometrical　structure　of　the　closed-cell　aluminum　foam　was　proposed.　The　proposed　numerical　method　was　applied　to　study　the　property　of　the　current　conduction　and　to　clarify　the　dependence　of　the　electrical　conductivity　on　the　porosity　as　well　as　the　cell　size.　A　shape　factor　defined　based　on　the　numerical　simulation　results　is　introduced　to　the　theoretical　model　of　the　electrical　conductivity　regarding　porosity,　which　can　describe　the　relationship　between　the　electrical　conductivity　and　the　porosity　of　the　closed-cell　aluminum　foam　properly.　It　was　found　that　the　porosity　has　a　negative　effect　on　the　electrical　conductivity　in　a　power　law　approximately,　while　the　cell　size　has　a　slight　effect　on　the　electrical　conductivity　of　the　closed-cell　aluminum　foam.　Finally,　the　simulation　results　were　compared　to　the　experimental　ones　and　their　good　agreement　demonstrated　the　feasibility　and　accuracy　of　the　proposed　numerical　model　of　the　closed-cell　metallic　foam.