Tunnelingdynamicsofmulti-atomicmoleculesbetweenanytwomulti-atomicmolecularBose-EinsteincondensateswithFeshbachresonanceisinvestigated.ItisindicatedthatthetunnelinginthetwoBose-Einsteincondensatesdependsnotonlyontheinter-molecularnonlinearinteractionsandtheinitialnumberofmoleculeinthesecondensates,butalsoonthetunnelingcouplingbetweenthem.Itisdiscoveredthatbesidesoscillatingtunnelingcurrentbetweenthemulti-atomicmolecularcondensates,thenonlinearmulti-atomicmoleculartunnelingdynamicssustainsaself-lockedpopulationimbalance:amacroscopicquantumself-trappingeffect.Theinfluenceofde-coherencecausedbynon-condensatemoleculeonthetunnelingdynamicsisstudied.Itisshownthatde-coherencesuppressesthemulti-atomicmoleculartunneling.