A new turbulence model, the k-ɜ-S( turbulent kinetic energy-dissipation-Stochastic theory) model, is presented. Instead of the Boussinesq eddy viscosity concept in the k-ɜ -E( turbulent kinetic energy-dissipation-Eddy viscosity) model, the turbulent stochastic theory developed by D. Guoren is used in the K-ɜ -S model. The wall functions which are appropriate to the K-ɜ -S model are deduced. Numerical results of 2-D examples show that the k-ɜ -S model is successful.