In this work, we compared Cu(II) GGH with Cu(II) ATCUN peptides bearing β-Ala instead of Gly at the 2nd position of the peptide sequence regarding their in vitro complex stability and cytotoxicity (MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) and annexin V-FITC (fluorescein isothiocyanate) apoptosis assay) towards three cancer cell lines (AGS, HeLa and NCI-N87). This evidence concerns the gene ANXA5 and cancer.