The random dynamic forces experienced by structure due to wind are caused primarily by the turbulence in the approaching flow and motion of the structure. In the paper, fluctuating wind velocity for time history analysis are simulated by a single variate single dimensional random process using Liang spectrum about across-wind direction. This paper analyzed and obtained the dynamic response for structures modeled as multi degrees of freedom system - the multistory shear building. The method for evaluating the damping matrix corresponds to any set of specified modal damping ratio. The numerical results, obtained by the Newmark-β method, shows the time-history responses and trends of maximum accelerations and displacements by applying various aspect ratios. In the paper, dynamic reponse characteristics including building side ratio and aspect ratio will be discussed.