  We propose a model for the non-Fermi behavior in the proximity of the quantum
phase transition induced by the strong polarization of the electrons due to
local magnetic moments. The self - consistent Renormalization - Group methods
have been used to calculate the temperature dependence of the electrical
resistivity and specific heat. The T^{5/3} dependence of resistivity and the T
ln T dependence of the specific heat show that the magnetic impurities drive a
ferromagnetic quantum phase transition and near the critical point the system
present a non-Fermi liquid behavior. The model is in good agreement with the
experimental data obtained for Ni_x Pd_{1-x} alloy.
