Damage detection based on a reference set of measured data usually has the problem of different environmental temperature in the two sets of measurements

and the effect of temperature difference is usually ignored in the subsequent model updating. It attempts to identify the structural damage including the temperature difference both local damages

and the temperature difference are identified in a gradientbased model updating method based on dynamic response sensitivity. The measured dynamic responses of the structure from two different states are used directly to identify the structural local damages and the temperature difference. A planar truss structure are studied to illustrate the effectiveness of the proposed method.