Now it is complex to calculate across-wind response of tapered high-rise structures with circular section abroad and its research at home is inadequate.Based on random vibration theory and across-wind force spectrum proposed by B.J.Vickery,a simplified formula on maximum across-wind response of tapered high-rise structures with circular section is achieved in this paper.With respect to engineering calculation,the results obtained by simplified method corresponds with those obtained by standard method based on the theory of random vibration well,but the prediction values by approximate method proposed by B.J.Vickery are smaller.