[en] To investigate how substrate-induced strain affects the magnetic anisotropy and damping constant, FeCo films were deposited onto Pb(Mg_1_/_3Nb_2_/_3)O_3-PbTiO_3 (PMN-PT) (0 1 1)-orientated substrates by RF-magnetron sputtering. Interestingly, as the strain, which is controlled by an applied electric field, increases, the magnetic anisotropy is enhanced while the damping constant decreases sharply. The angular dependence of coercive force and magnetoelastic energy were obtained to analyze the mechanism of magnetization reversal under strain modulation. The nonvolatile strain-modulation was demonstrated by the application of different pulsed electric fields. The reversible magnetization processes and low magnetic damping constant can be modulated by the substrate-induced strain, which can contribute to the realization of low-loss strain-mediated spin-transfer-torque based magnetic devices. (paper)