An exact analysis of the modes II and III problems of a pennyshaped crack in a transversely isotropic piezoelectric medium is performed in this paper. The potential theory method is employed based on the general solution of three-dimensional piezoelasticity and the four harmonics involved are represented by one complex potential. Previous results in potential theory are then utilized to obtain the exact solution that is expressed in terms of elementary functions. Comparison is made between the current results with those published and good agreement is obtained.