Based on the two Higgs doublet model, we study the effect of Higgs-boson exchange on the (super)heavy quarkonium bar QQ, which induces a strong attractive force between a (super)heavy quark Q and an antiquark bar Q. An interesting application is the decay of (super)heavy quarkonia bar QQ into a Higgs boson associated with gauge bosons. The criterion for making the bar QQ bound state is studied. We also show that non-perturbative effects due to gluonic field fluctuations are rather small in such a heavy quark sector. Possible enhancement for productions and decays of bar QQ bound states made from the fourth generation quark Q is discussed for bar p p (at the Tevatron) and pp (at the LHC) collisions.