To study the biological roles of Zn, we investigated simple model systems of $Zn^{++}, coordinated with OH_2 or NH_3,$ or with O=C- in peptide. The geometrical structures and net atomic charges were calculated by the ab initio HF-SCF theory using double zeta basis sets. The ligands of O-H, N-H, and O=C- are very polar due to $Zn^{++}$. Therefore, the carbon atom in peptide becomes so electrophilic that it can be easily attacked by other nucleophiles. In addition, to understand how $Zn^{++}$ is coordinated with ligands in enzyme, a molecular mechanics method is applied to the system of the enzyme of carboxypeptidase A (CPA) with the substrate of glycyltyrosine. From our results, it appears that the Zn ion is coordinated not only by four ligands in enzyme and substrate but also by one water molecule.