The Green function theory is used to study the phenomenon of magnetic reorientation in the ferrimagnetic system. The two-sublattice ferrimagnetic system, with dierent spins and the intra-sublattice ferromagnetic exchange interactions, is considered. The magnon uctuations supress in dierent way the magnetic orders of the sublattices and one obtains two magnetic orders. Each of these orders has dierent reorientation temperatures.