Abstract: The field reversed configuration(FRC) is a toroidal magnetic confinement system in which a pre-heated and magnetized plasma target can be produced in a -pinch coil. FRC is the main approach to the so-called magnetic target fusion. To understand the physical mechanism of its plasma equilibrium better, this paper focuses on the classical rigid rotor(RR) model of the FRC and analytically solved the equilibrium distribution functions. Based on the comparison with the standard two-dimensional magnetohydrodynamics(MHD) simulation, the influences of the various RR model assumptions on the equilibrium distribution functions have been discussed, and a calculated expression of the model profile variable with the relative radius was derivated. The results show that the FRC plasma RR model can describe the parameter distribution well within the plasma separatrix.