This paper investigates the fretting contact of a functionally graded piezoelectric layered half-plane under a rigid cylindrical punch.It is assumed that the rigid punch is a perfect insulating body with zero electric charge distribution.The electro-elastic properties of the functionally graded piezoelectric materials (FGPMs) vary exponentially along the thickness direction.By using the Fourier integral transform technique and superposition principle,the problem is reduced to a set of coupled Cauchy singular integral equations.An iterative method is used to determine the unknown stick/slip region,normal contact pressure and tangential traction.