In this study, the strong coupling constants of vertices
,
,
,
, and
are analyzed in the framework of QCD sum rules. All possible off-shell cases and the contributions of vacuum condensate terms including
,
,
,
, and
are considered. The momentum dependent strong coupling constants are first calculated and then fitted into the analytical function
, which is extrapolated to time-like regions to obtain the final values of strong coupling constants. The final results are
,
GeV
,
,
, and
GeV
. These strong coupling constants are important input parameters that reflect the dynamic properties of the interactions among the mesons and quarkonia.