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The coupling constant of the meson vertex $J/\psi D_s D_s$ is calculatedusing the three point correlation function within the QCD Sum Rule formalism.We have considered alternately mesons $J/\psi$ and $D_s$ off-shell togetherwith non-perturbative contributions up to the mixed quark-gluon condensates.When extrapolated, these two different form factors give the same couplingconstant for the process $g_{J/\psi D_s D_s} = 5.98^{+0.67}_{-0.58}$.

The $g_{J/\psi D_s D_s}$ strong coupling constant from QCD Sum Rules