Bi-stable　composite　laminated　structure　was　a　composite　laminated　structure　with　two　different　steady-state　characteristics,　which　could　be　kept　in　two　steady　states　without　the　maintenance　of　external　loads.　In　this　paper,　the　dynamic　governing　equation　of　bi-stable　cross-ply　carbon　fiber-reinforced　composite　laminates　under　foundation　excitation　is　established　by　using　Hamilton＇s　principle,　taking　into　account　geometric　nonlinearity.　Newton–Raphson　method　is　used　to　solve　the　equilibrium　point,　and　the　effect　of　curing　temperature　on　the　steady-state　configuration　of　bi-stable　laminates　is　studied.　The　equations　are　numerically　simulated　by　using　Runge–Kutta　method,　which　allows　the　nonlinear　dynamic　response　curve　of　the　system　to　be　obtained,　and　the　dynamic　jump　analysis　of　the　bi-stable　laminates　is　carried　out.　©　2022,　The　Author(s),　under　exclusive　licence　to　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature.