Abstract: The performance functions of components or systems are often implicit in engineering. A new reliability analysis method based on efficient surrogate model, Kriging model, is proposed. The sampling area is determined by the Euclidean distance and used to determine the area of sampling in the update process of the surrogate model. The proposed method can sample just in the area which have more contribution to the calculation of the failure probability in the update process of the surrogate model. The numerical example shows that the proposed method is accurate and efficient, and can be used in the structural reliability analysis with implicit performance functions. Also, the proposed method can be applied to structural reliability problem with small failure probability by changing the width of the circular sampling area. The proposed method provides a new way to the structural reliability analysis.