Windinduced responses of a single steel circular antenna with an asymmetric brace were computed considering wind speed and direction joint distribution function at location of the structure, and then windinduced fatigue life of the structure was estimated in frequency domain and time domain, respectively. Some parameters, including wind direction, surface roughness, vortexinduced resonance and mean wind speed, which would have effects on the windinduced fatigue life of the structure,were discussed. It is found that 1) wind direction has great effects on windinduced fatigue damage, that is, significant fatigue can occur in wind direction of high probability; 2) the more roughness the surface of structure is, the shorter the windinduced fatigue life is; 3) the effects of vortex resonance on windinduced fatigue life should not be neglected; 4) the mean velocity has slight impact on the windinduced fatigue life of the structure.