By applying the differential operator technology, magnetic properties (phase transition, tricritical points and magnetization) of a ferrimagnetic bilayer system with biaxial crystal-field are studied within the framework of the effective-field theory with correlations. The effects of the biaxial crystal-field constants on the magnetic properties of the ferrimagnetic bilayer system consisting of two ferromagnetically coupled monolayers (A and B) with different spins ( 1 2 and 1, 3 2 ; 2) are discussed in detail for the case of simple cubic Ising-type structures. We find interesting phenomena in the system, such as two tricritical points exist on the curve in the system with a half integer spin (S ΒΌ 3
2 ), while there is only one tricritical point in the system with an integer spin (S ΒΌ 1; 2) at certain values of the biaxial crystal-field. The ferrimagnetic system can exhibit compensation behavior, depending on the competition between the interlayer interaction and the biaxial crystal-field when the intralayer interactions J 2 and J 1 are fixed. The results obtained may be related to experimental work on rare-earth/transition-metal multilayer films.