The present invention relates to a peptide suppressing the phosphorylation of threonine(T120), the 120th residue of TSPYL5 (testis-specific Y-like protein 5), which is specifically as follows. The present inventors constructed T120D, the mutant of the 120th residue threonine(T120) of TSPYL5, and T120A-TSPYL5 gene and then transfected cells with them in order to investigate the effect of phosphorylation on T120 residue. As a result, wild-type TSPYL5 and T120D moved into nucleus and stayed there. But in the case of T120A-TSPYL5, TSPYL5 did not move into nucleus and instead it was expressed only in cytoplasm. The protein could not bind to AKT, either. Instead, ubiquitination of TSPYL5 was increased but SUMOylation was inhibited. Also, the expressions of ALDH1-A1, -A3, CD44 gene and protein were reduced, and thereby the growth and metastasis of lung cancer cells were suppressed and sphere formation was reduced. Based on the observation above, the inventors constructed the peptide composed of the amino acid sequences represented by SEQ. ID. NO: 43 or NO: 44 that could inhibit phosphorylation of the 120th residue threonine of TSPYL5. The said peptide can be effectively used as a composition for the inhibition of cancer cell growth, metastasis, and cancer stem cell growth.