The diffusion separation of micron and submicron sized particles was examined theoretically in the gradient magnetic field formed by tangent ferromagnetic spheres magnetized in external homogeneous magnetic field. In the gradient field around the tangent points of the magnetized spheres, the analytical solution of the diffusion equation for steady states is obtained by using the expression of the magnetic force acting on the submicron-sized particle. The concentration distribution of the particles in these regions was calculated.. a) Fe3O4 particles b) Mn 2 P 2 O 7 , CuO particles Figure A. Changes of the critical dimensions of the sunmicron particles held around the tangent points of the magnetized ferromagnetic spheres according to the magnetic field strength Purpose: In this article, the retention of micron and submicron particles in the gradient magnetic field formed by ferromagnetic spheres magnetized by the external homogeneous magnetic field was investigated by the diffusion approach. The analytical solutions of the diffusion equation for steady states were obtained, and the distribution profile of the concentration of the particles was determined in the gradient magnetic field. The critical dimensions of the particles were evaluated to hold the ferromagnetic spheres around their tangent points. Theory and Methods: The basic principle of high gradient magnetic separation (HGMS) and filtration (HGMF) processes is to retain these particles by applying effective magnetic force () to micron-sized, magnetic properties particles in the high gradient magnetic field, or separate the external homogeneous magnetic field from high gradient magnetic fields in HGMS systems. They are formed around ferromagnetic materials (sphere, wire, rod, metal shavings, metal wool, etc.) magnetized by the effect of (H). Results: In Figure A, the changes in the critical dimensions of the particles held in the magnetic field with the gradient formed by the magnetized spheres are shown according to the magnetic field intensity. This relationship is calculated according to equations. The critical size of the particles trapped decreases with increasing outer magnetic field intensity. But in this case, it is important that the particles are single-domain or multi-domain. Conclusion: The diffusion equation of the micron and submicron particles in matrix elements formed from magnetized ferromagnetic spheres has been investigated. Analytical solutions for steady states of the diffusion equation in the high gradient magnetic field formed around the tangent points of the magnetized spheres were obtained.