To enhance the damping of microwave magnetization dynamics, we investigate the effect of Nd-doping (0–3.0 at. %) into CoZr thin films. The saturation magnetization decreases with Nd-doping. The coercivities generally decrease in the case of 1.5 at. % Nd-doping, while increase in the case of 3.0 at. % Nd-doping. The magnetization dynamics is characterized with the permeability spectra, which are determined by the ferromagnetic resonance behavior at the microwave range. The permeability spectra are analyzed through the fittings with Landau-Lifshitz-Gilbert equation. From the fittings, both the dynamic magnetic anisotropy field and the damping factor increase, due to the enhanced spin-orbital coupling by Nd-doping.