For　the　static　and　dynamic　regimes　of　the　bistable　asymmetric　cross-ply　composite　laminated　plates,　the　theoretical　model　and　the　finite　element　model　(FEM)　are　established.　The　2D　and　3D　diagrams　for　the　supercritical　pitchfork　bifurcation,　which　are　dominated　by　the　length,　the　width,　the　aspect　ratio,　the　ratio　of　side　to　thickness,　the　number　of　layers　and　the　temperature　difference,　can　be　used　to　describe　the　static　regimes.　The　restoring　force　curves　(RFCs)　and　the　potential　energy　curves　(PECs)　are　shown.　The　single-well　vibration,　the　limit-cycle　oscillations,　the　multiple-period　snap-through,　and　the　chaotic　snap-through　are　the　dynamic　regimes　that　predominate.