Meshing　parameters　including　stiffness　and　damping　are　key　factors　of　nonlinear　vibration　of　spiral　bevel　gears.　Considering　the　time-varying　characteristics　of　meshing　stiffness　and　meshing　damping,　adopting　a　second-order　Fourier　series,　vibration　equation　of　a　pair　of　spiral　bevel　gears　was　established.　Based　on　the　variation　of　clearance　function　under　different　meshing　states,　the　effects　of　meshing　stiffness　and　meshing　damping　on　meshing　features　of　a　pair　of　spiral　bevel　gears　under　three　meshing　states　were　studied.　Using　Matlab,　the　vibration　displacement　curves　of　the　meshing　point　were　given　when　mean　meshing　damping,　harmonic　meshing　damping,　major　harmonic　meshing　stiffness　and　sub-harmonic　meshing　stiffness　were　considered.　The　results　showed　that　increasing　mean　meshing　damping　and　decreasing　major　harmonic　meshing　stiffness　can　drop　vibration　displacement　peaks　and　improve　transmission　stability.