The　molecular　structural　mechanics　method　is　applied　in　modeling　static　and　dynamical　bulking　of　carbon　nanotubes.　A　carbon　nanotube　is　modeled　as　a　geometrical　frame-like　structure　and　a　covalent　bond　among　carbon　atoms　as　a　frame-like　beam,　whereas　a　carbon　atom　acts　as　an　element　node.　By　using　equivalence　between　the　local　atomic　potential　energy　and　elemental　strain　energy,　the　section　parameters　of　the　beam　can　be　obtained.　Based　on　the　molecular　structural　model,　the　finite　element　model　is　developed　to　simulate　the　static　and　dynamic　buckling　behavior　and　critical　buckling　strain　of　single-walled　carbon　nanotubes　under　axial　compression.　The　present　results　are　compared　with　that　of　the　continuum　model　and　molecular　dynamics　model.