Abstarct: In nuclear physics deuteron is considered as a two-body system, that solving Schrödinger equation for this system gives static features including magnetic moment. But in this work deuteron which including u and d quarks, is considered as a relativistic system and a mathematical method is presented for solving the Dirac equation system. In this way, that treated within the hyperspherical harmonics, the hypercentral potential is assumed to depend on the hyperradius only. Using the central potential and analytical solution of Dirac equation for six-body deuteron system, we find eigenfunction and magnetic moment.