  We present a phenomenological analysis of higher Fack state contributions to
the $\chi_{cJ}$ decays by using the recent BES experimental data. It is found
that the higher Fock state $\mid (c\bar{c})_{8}g>$ makes an important
contributions to the inclusive and exclusive processes with respect to that
from the valence Fock state $\mid c\bar{c} >$ of the $\chi_{cJ}$ and some
constraints of these contributions are obtained for the $\chi_{c0}$ and
$\chi_{c2}$ states in order to fit the experimental data.
