Electromagnetically induced transparency (EIT) and slowdown of group velocity (SGV) in Eu3+:Y2SiO5 were investigated by using density matrix equations of the interaction between light and matter and their numerical solutions. The relationship of the probe transmission with different probe detuning and coupling Rabi frequency was obtained. The influence of inhomogeneous line width on electromagnetically induced transparency and slowdown of group velocity were analyzed. Such transparency was restrained when inhomogeneous line width increased. The center transmission did not homogeneously change with an increase in ion-doped concentration. There is an optimal concentration which can make the electromagnetically induced transparency significant. It is evident that the group velocity of the probe has a minimum value for a certain level of coupling field strength.