To simulate the dynamic stall characteristics of rotor airfoil, the CFD method is established based on the unsteady RANS equations with dual time-stepping approach. In order to investigate the influence of the rotor leading edge shape on dynamic stall characteristics, three kinds of rotor airfoils(Moidified airfois-１—６) are designed based on the NACA0012 airfoil by changing the leading edge shape. By analysis and comparison of the numerical results, it is indicated that minor change of the airfoil upper surface shape can effectively influence the dynamic stall characteristics, and the dynamic stall can be suppressed by the salient deformation of the upper surface, while the effect of the airfoil lower surface shape on the dynamic stall characteristics is relatively little. The camber nearby the leading edge of airfoil can also influence the dynamic stall characteristics, and these characteristics are generally weakened with the increasing of the camber of airfoil.