In the present work the spectra of even–even Hf isotopes are studied through the selecting of core–cluster decomposition of the parent nucleus. The considered partition should give internal stability of the core–cluster combination. The modified Woods–Saxon and Coulomb potentials are used to reproduce the spectra of even–even Hf isotopes where the core-radius is taken as a free parameter. The theoretical calculations of the excitation energies and the transition probabilities B(E2) of the ground state band are compared to the experimental data of the considered Hf isotopes. The obtained results reflect the ability of describing the pure rotational ground state band of even–even Hf isotopes through the core–cluster decomposition model.