In this study the plane electroelasticity problem for a functionally graded piezoelectric slab containing a crack perpendicular to the boundaries is considered. It is assumed that the electroelastic properties of the medium vary continuously in the thickness direction. The problem is solved under a fixed grip and a uniform electric field conditions applied to the slab away from the crack region. The stress intensity factors and the energy density factors are presented for embedded as well as edge crack for various values of dimensionless parameters representing the size and the location of the crack and the material nonhomogeneity.