  The leptogenesis is studied in the neutrino textures with two zeros, which
reduce the number of independent phases of the CP violation. The
phenomenological favored neutrino textures with two zeros are decomposed into
the Dirac neutrino mass matrix and the right-handed Majorana one in the see-saw
mechanism. Putting the condition to suppress the $\mu \to e\gamma$ decay
enough, the texture zeros of the Dirac neutrino mass matrix are fixed in the
framework of the MSSM with right-handed neutrinos. These textures have only one
CP violatig phase. The magnitude of each entry of the Dirac mass matrix is
determined in order to explain the baryon asymmetry of the universe by solving
the Boltzman equations. The relation between the leptogenesis and the low
energy CP violation is presented in these textures.
