γ-Aminobutyric acid is a major inhibitory neurotransmitter in the mammalian central nervous system that plays a substantial role in brain disorders. γ-Amino phosphonic acid is a unique surrogate of both natural and unnatural γ-amino acid. Because of their unique biological activity, γ-amino acid and γ-amino phosphonic acid derivatives have attracted considerable attention. However, an efficient and straightforward method for constructing chiral γ-substituted-γ-amino acid and γ-amino phosphonic acid derivatives remains a long-standing challenge. Herein, a highly efficient, versatile, and universal Cu-catalyzed asymmetric hydroamination of cinnamyl esters, cinnamyl phosphonates, and cinnamyl phosphine oxides is presented for accessing γ-amino acid and γ-amino phosphonic acid derivatives in good yields with high levels of enantiocontrol and regioselectivity.