For a new type of bevel gear-logarithmic spiral bevel gear, which stress mechanical properties are studied during the meshing process. Three-dimensional meshing models of logarithmic spiral bevel gear are established by Pro/ E. Because its tooth trace is conical logarithmic spiral, the paper proposes a new modeling method and successfully constructs the engagement model. Based on this, the gear dynamic contact emulation analysis is operated with ANSYS/LS-DYNA software in order to obtain stress distribution in the process of tooth contact. The tooth contact stress and tooth root bending stress magnitude, stress distribution and variation of cloud are analyzed. Contacting engineering practice, the results are in-depth study. Thus it can provide the theory basis for design and the application of this kind of new bevel gear.