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The form factors and coupling constants of the meson vertices J/\psi D_s D_sand \phi D_s D_s were calculated using three point correlation functions withinthe QCD Sum Rules formalism. We have considered the cases where \phi, D_s andJ/\psi mesons are off-shell obtaining, for each vertex, two different formfactors and its corresponding coupling constants, namely g_{J/\psi D_s D_s} =6.20^{+0.97}_{-1.15} and g_{\phi D_s D_s} = 1.85^{+0.22}_{-0.23}.

Obtaining the strong coupling constants g_{J/\psi D_s D_s} and g_{\phi D_s D_s} from QCD Sum Rules