Accurate calculations of the bound ro-vibrational states of ozone are performed in the region of high vibrational excitation. Two unusual vibrational states localized in the far van der Waals region are discovered. They can be considered as the ground vibrational states of even and odd symmetries bound in the shallow van der Waals well. Properties of these states are presented and discussed, which opens possibilities for experimental realization of the helium nanodroplet isolation ro-vibrational spectroscopy of ozone. (C) 2003 American Institute of Physics.