For better understanding of conformational stability of the dipeptide model HCO–Gly–L–Leu–NH2, ab initio and DFT computations at HF/6-31G (d), 6-311++G (d, p) and B3LYP/6-31G (d) levels of theory were carried out. Geometry optimization of the dipeptide within the leucine (Leu) side chain angles (X1¸X2) resulted in three stable conformations as followings: anti-anti, the most stable one, (X1=180o, X2=180o), Gauche (+) - trans (X1=60o, X2=210o) and 270o-Gauche (-) (X1=270o, X2= 300o). The thermodynamic properties E, H, G, and S by changing dihedral angles Y1 (D1) and F1 (D11) of glycine (Gly), Y2 (D6), and F2 (D4) of Leu and keeping the SC dihedral angles of the anti--anti conformer were obtained by frequency calculations at the same levels. The calculations indicate that the BB has the highest stability bearing Y1 (D1) =180o, F1 (D11) =180o, Y2 (D6) =150o, and F2 (D4) =210o.