Optical bistability (OB) and optical multistability (OM) behavior in molecular magnets is theoretically studied. It is demonstrated that the OB of the system can be controlled via adjusting the magnetic field intensity. In addition, it is shown that the frequency detuning of probe and coupling fields, as well as the cooperation parameter, has remarkable effects on the OB behavior of the system. Also, we find that OB can be converted to OM through the magnitude of control-field detuning. Our results can be used as a guideline for optimizing and controlling the switching process in the crystal of molecular magnets.