In order to improve the accuracy of turbulence flow simulations, the k-kL two-equation turbulence model constructed by Abdol-Hamid is applied to close RANS equations and assessed. In this paper, a modification to the upper limit in von Karman length scale is proposed. Some factors effecting simulation accuracy are also discussed. A number of test cases including flat plate case, airfoil case and backward facing step case are run to demonstrate the accuracy of this model, its capability to resolve important flow features and grid convergence. Test results show that this turbulence model is superior or at least comparable to other two-equation turbulence models in simulating either attached or separated turbulent flows.