AUSMPW+ scheme is applied to numerical simulation of hypersonic thermochemical nonequilibrium flow. The third-order MUSCL scheme is used to get more accurate solutions. The present schemes combined with the LU-SGS scheme to improve the efficiency and convergence of computation. Solving axisymmetric Navier-Stokes equations with 11 species air model gets the convergent solutions of thermochemical nonequilibrium flow. The ballistic range experiment is conducted for code validation and the sphere model is made of steel. The computational results are good compared with the experimental data and reference data. Using AUSMPW+ scheme in numerical simulation of hypersonic thermochemical nonequilibrium flow can get the accuracy aerodynamics and the accuracy position of strong bow shock.