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Magnetoelectric(ME)coupling in multiferroic heterostructures has drawn intensive interest due to their important potential applications such as low-power spintronic devices.Both magnetization and magnetic anisotropy of the magnetic film can be manipulated by an external electric field induced piezoelectric strain.However,the manipulation of damping is much less investigated.In this work,we experimentally investigated the damping of Co layer controlling by the electric-field in Co/Pb(Mg1/3Nb2/3)O3-PbTiO3(PMN-PT)heterostructures by ferromagnetic resonance(FMR),and obtained a large anisotropic damping factor.