Abstract: An eigenvalue method was proposed to study the singular stress field and the singular electric displacement field of a piezoelectric/conductor wedge under a plane strain state. Based on the fundamental equations of transversely isotropic piezoelectric materials and a first-order approximation assumption, the discrete characteristic equation was derived by using displacement functions and electric potential functions with separated variables and the meshless method. The eigenvalue is relative to the order of stress singularity and electric displacement singularity, and the associated eigenvector is with respect to the stress angular variations and electric displacement angular variations. The numerical results of both singularity orders and angular variations obtained by the proposed method agree with those presented in the reference literatures very well. The accuracy and efficiency of the proposed eigenvalue method were also verified.