Electroelastic behavior induced by a penny-shaped dielectric crack in a piezoelectric cylinder (i.e., a finite piezoelectric body in the radius direction) is considered in this paper. Two coupled Fredholm integral equations are derived by employing the Hankel transform technique with the introduction of certain auxiliary functions. The intensity factors of stress, electrical displacement and crack opening displacement (COD) are obtained in closed forms. The effects of the radius of the piezoelectric cylinder, the applied electrical field and permittivity of the crack interior on the COD intensity factor are illustrated numerically. The results of both the electrically permeable and impermeable boundary conditions are simultaneously displayed as special cases.