Introduction　In　this　paper,　the　bi-stability　and　natural　vibration　characteristics　of　bi-stable　laminate　structural　system　with　simply　supported　at　arbitrary　four　points　are　studied.　Methods　Taking　the　asymmetric　and　antisymmetric　cross-ply　square　and　rectangular　laminates　as　the　research　objects,　two　stable　configurations　of　the　bi-stable　structural　systems　are　acquired　by　employing　17-parameter　configuration　function,　the　first-order　shear　deformation　theory,　the　von　Karman　strain-displacement　relationship,　the　principle　of　minimum　potential　energy　and　numerical　techniques.　It　is　found　that　the　17-parameter　configuration　function　is　more　accurate　in　describing　the　stable　configuration.　Considering　the　natural　vibration　and　the　boundary　condition　of　simply　supporting　by　four　points,　Lagrange　multipliers　are　introduced　to　obtain　the　total　energy　of　the　system.　Then,　the　Chebyshev　polynomials　are　used　to　fit　the　mode　functions.　Two　stable　configurations,　bi-stability,　natural　frequencies　and　mode　shapes　of　the　system　are　solved　by　Rayleigh-Ritz　method.　Results　The　numerical　results　in　this　paper　are　compared　with　other　literatures　which　validate　the　present　model　and　demonstrate　the　effectiveness.　The　effects　of　various　parameters　and　locations　of　four　support　points　on　bi-stability　and　vibration　are　studied　in　detail.