We consider the case of localized diffusion of several hydrogen related defects in MgO and CaO. Using the EPR technique we obtain information about the hopping processes, jumping rates and activation energies. Usually the first excited vibrational state is far enough so that the motion takes place by thermally activated jumps between the ground states. This is the case of [OH2-]0and [H-Ca+]0in CaO and Hi0(Li) in MgO. In contrast, for Hi0(Li) in CaO the first vibrational state is close enough to be partially populated at the temperatures of measurement. To explain its dynamical behavior we propose a model in which the reorientation takes place by a tunneling through the first excited vibrational state.