  The connection between the two-point and the three-point correlation
functions in the non-linear gravitational clustering regime is studied. Under a
scaling hypothesis, we find that the three-point correlation function, $\zeta$,
obeys the scaling law $\zeta\propto \xi^{\frac{3m+4w-2\epsilon}{2m+2w}}$ in the
nonlinear regime, where $\xi$, $m$, $w$, and $\epsilon$ are the two-point
correlation function, the power index of the power spectrum in the nonlinear
regime, the number of spatial dimensions, and the power index of the phase
correlations, respectively. The new formula reveals the origin of the power
index of the three-point correlation function. We also obtain the theoretical
condition for which the ``hierarchical form'' $\zeta\propto\xi^2$ is
reproduced.
