A cerium based particle composition comprises: 50-90% by weight of cerium oxide, and at least 10% by weight of lanthanum oxide. The method to prepare the particle composition comprises: one or more water soluble salts of transition metal elements and/or alkaline metal elements are mixed with CeLaCl3 solution; the mixed solution is precipitated with carbonate(s) and/or hydroxide(s) to obtain rare earth carbonate(s) doped by said one or more transition metal elements and/or alkaline metal elements; the carbonate(s) is calcined and crushed to obtain the said particle composition. The said composition can be mixed with water, optionally at the presence of additive(s), in order to obtain an abrasive for polishing glass for liquid crystal display and hard recording medium, particularly in the use of polishing glass substrate industry.