Magnetic materials play the main role in recent research. The magnetic materials are used in the water treatment magnetic brake system. Super paramagnetic materials play the main role in space onstruction and a variety of applications. So the study of the magnetic nature of transitions metals gets importance in recent years. CeO2 nanoparticle was prepared by using Ultrasonication method. X-ray diffraction is used to identify the exact grain size and crystal arrangement. (111), (022) the hkl value proves the sample purity. Scanning electron microscopy is used to identify the size and morphology of the particles. The current study explains the magnetic nature of CeO2 by using magnetic (Daniel B.Litvin) symmetry which is identified by XRD and crystal impact Match-2 and Diamond-3 software. It proves the G-type anti ferromagnetic structure with symmetry.