A proper imposition of interface compatibility condition is important for issues in interface coupling, especially when the interface contains nonmatching meshes. For precise handling of interface coupling, a localized mortar method is widely used by introducing a fictitious frame domain to impose interface constraint. The performance of the method depends on the allocation of nodes along the frame. In this study, a new method of allocating the frame nodes for effective and accurate treatment of nonmatching interface meshes is introduced. A key feature of the proposed method is that the frame nodes are allocated by finding the minimum influence points between two adjoined subdomains through a linear interpolation of interface nodes. The characteristics of the proposed method are illustrated through several numerical examples.