Simulations are conducted to investigate the capabilities of the low-Re kappa-epsilon model in predicting aerodynamic characteristics of the static stall airfoil. Launder-Sharma model, which represents typically a kind of the low-Re two-equation kappa-epsilon model, is tested. Results show that in the computation of the trailing-edge stall, low-Re two equation model delays the stall angle and underestimates the peak lift as compared with experimental data. The separation region is also underestimated due to the computation of fully turbulent flow everywhere. Generally, the computational results agree well with the experiment qualitatively.