This paper investigates a moving crack in a nonhomogeneous piezoelectric material (NPM) plate. The mechanical and electrical properties of the plate are considered for a class of functional forms for which closed-form expressions for the moving crack tip electromechanical fields are obtained. Effect of material non-homogeneity and crack moving velocity on the crack tip fields are discussed. The crack moving velocity can increase or decrease the stress intensity factor. The cleavage stress, τθz, however, is always an increasing function of crack moving velocity.