The study uses colored noise with exponential correlation as an approximation of external environmental interference. The steadystate response of a galloping energy harvester (GEH) under colored noise is studied. Firstly, the theoretical electromechanical coupling motion equations of the system are introduced and nondimensionalized. Secondly, the equations are equivalently decoupled through generalized harmonic transformation, then the analytical solution of the steadystate response of the system is obtained through the stochastic averaging method. Finally, numerical simulations are conducted using the fourthorder RungeKutta algorithm to verify the theoretical results and analyze the effects of wind speed and colored noise parameters on the steadystate response of the system. The system response exhibits periodic oscillations with additional noise when the galloping induced by wind is dominant. As the wind speed increases, the enhanced wind excitation weakens the effect of color noise excitation on the steadystate response of the system. In addition, this study also investigates the effects of system structure parameters and electrical parameters on the average output power, providing effective theoretical guidance for optimizing system design.