Based on random vibration theory,a wind power spectral analysis method in the frequency domain was used to analyze the wind induced vibration of long-span gable roofs supported by steel truss in this paper.The Davenport wind spectrum was used to calculate wind-induced vibration responses and wind vibration factor of the gable roofs.The influences of parameters such as the basic wind pressure,span and weight of the roof,damping ratio,terrain categories and support restraints,and etc on the wind vibration factor were discussed.Using results of the parametric analysis,a practical wind-induced vibration factor formula for long-span steel truss supporting gable roofs was summarized and recommeded.