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 an unique surrogate of both natural and unnatural γ-amino acid. Because of their unique biological activity, γ-Amino acid, as well as γ-amino phosphonic acid derivatives have attracted considerable attentions. However, efficient and straightforward method for constructing chiral γ-substituted-γ-amino acid and γ-amino phosphonic acid derivatives remains a longstanding 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 level of enantiocontrollings and regioselectivities.