The　resonant　responses　of　the　hyperelastic　cylindrical　shell　with　the　initial　geometric　imperfections　are　investigated　by　considering　both　geometric　and　material　nonlinearities.　The　hyperelastic　cylindrical　shell　is　subjected　a　radial　harmonic　excitation.　Based　on　Donnell＇s　theory,　hyperelastic　constitutive　relations　and　Lagrange　equation,　the　differential　governing　equations　of　motion　are　derived　for　the　hyperelastic　cylindrical　shell　with　the　initial　geometric　imperfections.　Using　the　multiple　scale　method,　the　perturbation　analysis　for　the　governing　equations　of　motion　is　conducted　under　the　2:1　internal　resonance　condition.　The　amplitude-frequency　and　force-amplitude　response　curves　are　obtained　for　the　hyperelastic　cylindrical　shell.　The　effect　of　different　parameters　on　the　linear　frequencies,　amplitude-frequency　response　curves,　force-amplitude　response　curves　and　chaotic　responses　of　the　hyperelastic　cylindrical　shell　are　discussed.　The　numerical　results　indicate　that　the　existence　of　the　geometric　imperfections　leads　to　the　increase　of　the　linear　frequencies　of　the　hyperelastic　cylindrical　shell.　The　amplitude-frequency　response　curves　have　the　typical　double-jumping　phenomena　and　the　response　amplitudes　increase　with　the　increase　of　the　external　excitation　amplitudes.　The　imperfection　amplitudes,　imperfection　forms　and　structure　parameters　have　the　obvious　influences　on　the　resonant　peaks　evolutions.　The　vibrations　of　the　first-order　and　second-order　modes　have　the　synchronization　phenomena.　With　the　changes　of　the　parameters,　the　dynamic　responses　of　the　hyperelastic　cylindrical　shell　with　the　imperfections　change　the　period　to　chaotic　vibrations　alternately.