The nonlinear dynamics of the rotating blade of the Horizontal Axis Wind Turbine(HAWT) under the forces caused by the pulse wind is investigated in this paper. The blade is modeled as a rotating cantilever beam under the actions of aerodynamic forces, elastic forces and inertia forces. The nonlinear governing equation of motion for the rotating cantilevered blade under harmonic wind forces is obtained based on the Newton's law of motion. The Galerkin approach is used to transform the nonlinear partial differential governing equations of motion to a two-degree-of-freedom nonlinear ordinary equations. Due to the quadratic terms, the method of asymptotic perturbation is employed to transform the ordinary equation to the averaged equations in the case of 1/2 subharmonic resonance and 1:3 internal resonance. The planar phase portrait, the three-dimensional phase portrait, the waveform and the frequency spectrum of the averaged equations are obtained by numerical simulations. The influence of the mean wind speed and the stochastic wind speed on the system is studied. The results indicate that the motion of the blade of HAWT follows the following process: from periodic motion to chaotic motion and then to periodic motion.