This　paper　studies　the　double-parameter　multi-pulse　jumping　chaotic　vibrations　and　metastable　chaos　of　the　bistable　asymmetric　composite　laminated　square　panel　under　combined　external　and　parametric　excitations　for　the　first　time.　The　double-parameter　multi-pulse　jumping　chaotic　motions　are　studied　by　using　the　extended　Melnikov　method　for　the　bistable　asymmetric　composite　laminated　square　panel.　It　is　indicated　that　there　exist　the　Shilnikov　type　multi-pulse　jumping　orbits.　The　occurred　mechanism　of　the　metastable　chaos　is　first　analyzed.　A　theoretical　explanation　is　given　for　coexisting　in　the　double-parameter　multi-pulse　jumping　chaotic　vibrations　and　metastable　chaotic　behaviors.　Using　the　double-parameter　Lyapunov　exponents,　the　double-parameter　nonlinear　dynamics　of　the　bistable　asymmetric　composite　laminated　square　panel　are　analyzed.　According　to　the　numerical　simulation　results,　the　in-depth　investigation　of　the　topological　changes　is　obtained　for　the　double-parameter　multi-pulse　jumping　chaotic　vibrations.　It　is　found　that　the　dynamic　snap-through　phenomena　and　the　coupled　effects　of　the　external　and　parametric　excitations　on　the　double-parameter　nonlinear　dynamic　behaviors　are　obtained　for　the　bistable　asymmetric　composite　laminated　square　panel.　It　is　also　observed　that　the　change　of　the　external　excitation　can　only　affect　the　complexity　of　the　chaotic　vibrations.　However,　the　parametric　excitations　determine　the　types　of　the　chaotic　vibrations.　There　exists　a　direct　connection　between　the　occurrence　of　the　metastable　state　chaos　and　the　increase　of　parametric　excitations　for　the　bistable　asymmetric　composite　laminated　square　panel.