  In this paper the leading twist contribution to $\chi_{c0,2}\to\omega\omega$
decays in the color singlet approximation is considered. It is shown, that the
predictions for $\Br(\chi_0\to\omega\omega)$ is in a good agreement with the
experimental data, while $\Br(\chi_{c2}\to\omega\omega)$ differs from the
experiment significantly.
