Abstract: A new structural damage identification method using static displacement of limited tests based on the grey correlation theory is firstproposed in this paper. The grey correlation coefficient of displacementcurvature and static displacement curvature assurance coefficient is definedand used to locate damage in the structure firstly, and an iterativeestimation scheme for solving nonlinear optimization programming problemsbased on the quadratic programming technique is used to identify the damagemagnitude. A numerical example of a two-fixed beam with single or multipledamages is used to examine the capability of the proposed method to locateand identify damages. The factors of measurement noise and incomplete testdata are also discussed. The numerical results show that the damage in thestructure can be identified correctly through static displacement curvatureassurance coefficient, and the damage magnitude can be identified with ahigh degree of accuracy, regardless of the number of measured displacementnodes. This proposed method requires only limited static test data, which iseasily available in practice, and has wide applications in structural damagedetection.