A spinel-reinforced magnesium oxide-based foam ceramic filter that is obtained by coating onto a polyurethane foam carrier a slurry of light calcined magnesium oxide-based ceramic comprising a nanometer lanthanum oxide sintering aid, and then drying and sintering. A method for preparing the foam ceramic filter comprising: 1) preparing a ceramic slurry having a solid content of 60%-70% by dosing 15%-25% by mass of a nanometer alumina sol, 0.8%-1.5% by mass of a rheological agent, and the balance magnesium oxide ceramic powder comprising a nanometer lanthanum oxide sintering aid, and then adding absolute ethanol and ball milling to mix until uniform; 2) soaking a polyurethane foam template into the ceramic slurry, squeezing by a roller press the polyurethane foam template to remove redundant slurry therein to make a biscuit, and then removing the ethanol solvent in a ventilation chamber at a temperature of 40° C.-50° C. to dry the biscuit; 3) putting the dried biscuit into a sintering furnace, elevating the temperature to 1350° C.-1550° C. and performing a high temperature sintering, cooling to the room temperature with the furnace to obtain the magnesium oxide-based ceramic foam filter.