A　strategy　for　solving　the　impact　response　of　metal-rubber　vibration　isolation　systems　is　proposed　based　on　the　mixed　shooting　harmonic　balance　method.　The　dynamic　model　of　the　metal　rubber　vibration　isolation　system　is　constructed　by　fully　considering　the　flexible　characteristics　of　the　mounting　plate,　based　on　which　the　impact　excitation　is　divided　into　half-sinusoidal　forced　vibration　and　free　vibration,　and　the　mixed　shooting　harmonic　balance　method　are　used　to　solve　the　system　response　and　then　coupling,　and　to　analyze　the　vibration　isolation　system　by　the　influence　of　the　system　parameters　and　the　external　excitation　law.　The　results　show　that　among　the　system　parameters,　the　linear　stiffness　has　the　most　significant　effect,　the　damping　plays　a　dominant　role　in　the　free　vibration　phase,　while　the　mass　and　nonlinear　stiffness　have　less　significant　effects.　Among　the　external　excitations,　the　duration　of　the　shock　is　the　most　significant,　and　the　shock　excitation　amplitude　has　a　smaller　effect.　The　impact　response　of　the　metal-rubber　vibration　isolation　system　is　further　verified　by　impact　test　and　compared　with　the　Fourier　transform　method.　The　proposed　impact　response　dynamics　solution　strategy　has　high　accuracy　and　the　variance　of　the　model　solved　by　MS-HBM　is　R2=0.75,　which　is　much　larger　than　that　of　the　model　solved　by　the　FFT　transform　method　with　R2=0.5.　The　results　of　this　study　provide　a　new　idea　to　solve　the　impact　response　of　the　metal-rubber　vibration　isolation　system.　©　2025　Chinese　Mechanical　Engineering　Society.　All　rights　reserved.