  We calculate the strong coupling constants among the doubly heavy spin-$
\frac{3}{2} $ baryons $\Xi^*_{QQ}$ and $\Omega^*_{QQ}$, with $ Q $ and $ Q' $
being $ c$ or $ b $ quark, with light vector meson by means of the light-cone
QCD sum rules. The matrix elements defining these vertices are described by
four coupling constants $ g_1$, $ g_2$, $ g_3$, and $ g_4 $. The unwanted
pollution coming from the doubly heavy spin-$ \frac{1}{2} $ baryons are removed
by a special ordering of Dirac matrices and selection of appropriate Lorentz
structures. The strong coupling constants are basic parameters that carry
information on the nature of the strong interaction among hadronic multiplets.
Investigation of these parameters may help physicists in the construction of
the strong potentials among the doubly heavy baryons and light vector mesons.
The values obtained for the strong coupling constants may also help
experimental groups in analyses of the data produced at various hadron
colliders.
