The overall response of a building to wind is governed by steady and unsteady aerodynamic characteristics in winds from different directions, and its mechanical properties such as mass, stiffness, and damping. The general characteristics of the response of bluff building shapes are presented. Typical responses for six tall buildings, as well as their dependence on density and damping, are discussed. Statistical predictions of extreme responses required in design decision are determined through the integration of meteorological factors with aerodynamic and structural properties. It is shown how building shape and structural properties can affect the overall predicted performance.