The magnetorheological effect of magnetorheological fluids(MRFs) under magnetic-mechanical fields is determined by its microstructures.The magnetic energy of typical microstructures of dipolar particles in a static magnetic field is analyzed.It shows that,among the microstructures composed respectively of single-column,compact two-column,compact three-column,cubic-lattice,bct and fcc cells,the average magnetic potential energy of the microstructure with cubic-lattice cells is the highest and that with BCT cells is the lowest.It indicates that the microstructures composed of BCT cells and compact multi-column cells are the most possible microstructures in MRFs under static magnetic fields.