[en] In this study, rare earth nuclei, 180Gd, 168Er, 170Er and isotopic chain of Dy were investigated using relativistic mean field theory with non-linear NL3 and NLSH parameters sets. Binding energies per nucleon, neutron radii, proton radii, charge radii, neutron and proton quadrupole moments of these nuclei were calculated. Also, these ground state properties were calculated using non-relativistic Hartree-Fock-Bogoliubov method with parameters set SKP. Productions of this work were compared with available experimental data and some predictions calculated with different parameters set in relativistic mean field theory