Procedures and methods for synthesizing biodegradable polymer coated nanoceria result in stable nanoparticle preparations in aqueous systems and physiological relevant colloidal solutions, such as phosphate buffer saline. The coated nanoceria preparations increase the nanoparticle concentration in aqueous or colloidal solutions as most needed for antioxidant, free-radical scavenger, and autocatalytic biomedical applications, including, biological, pharmacological and potential clinical use. To meet this need, a facile synthetic procedure for preparation of a biodegradable polymer-coated nanoceria is disclosed the preferred biodegradable polymer is dextran. The synthesis method occurs under ambient conditions in an aqueous phase without the use of surfactants and results in a monodispersed preparation that is dextran-coated as determined by dynamic light scattering (DLS). Preliminary characterization of polymer coated nanoceria by XPS, TEM, XRD, and the like shows that these nanoparticles have the necessary physical properties for the desired biological potency, such as Ce+4/Ce+3 mixed valence state.