The tandem oxo-Michael-IED/HDA and oxo-Michael-IED/HDA-Michael-Aldol condensation transformations between (E)-2-hydroxyaryl-2-oxobut-3-enoate derivatives with enals have been developed in the presence of (S)-diphenylprolinol trimethylsilyl ether as an organocatalyst. Two types of tricyclic chroman derivatives were, respectively, obtained, by adjusting the reactant ratio and reaction temperature, in good yields (up to 96%) with excellent enantioselectivities (up to >99%) and good diastereoselectivities (up to >30/1). It should be noted that the divergent chiral chroman derivatives were obtained by successive reaction of (E)-2-hydroxyaryl-2-oxobut-3-enoate derivatives with two different enal substrates in highly catalytic results.