Nitrogen oxide storage catalyst composed of at least two catalytically active washcoat layers on a support body, wherein - a lower washcoat layer A contains cerium oxide in an amount of 110 to 180 g/L based on the volume of the support body, an alkaline earth compound, and platinum and palladium; - an upper washcoat layer B located above the washcoat layer A contains cerium oxide, and platinum, palladium and rhodium, and is free of alkali compounds and alkaline earth compounds; - the ratio of the cerium oxide in washcoat layer A to cerium oxide in washcoat layer B, calculated in each case in g/L, based on the volume of the support body, is 1:1 to 5:1, wherein the total of cerium oxide in washcoat layer A and washcoat layer B, calculated in g/L and based on the volume of the support body, is 132 to 240 g/L; - the ratio Pt:Pd, calculated in each case in g/L, based on the volume of the support body, in washcoat layer A and washcoat layer B is equal and is 2:1 to 20:1; - the totals of platinum and palladium, calculated in each case in g/L and based on the volume of the support body, in washcoat layer A and washcoat layer B are equal; and - the ratio of the concentrations of platinum and palladium in washcoat layer A to platinum and palladium in washcoat layer B, in each case based on the total mass of the respective washcoat layer, calculated in each case in g/L, based on the volume of the support body, is 1:1 to 1:5, wherein the alkaline earth compound in washcoat layer A is magnesium oxide, barium oxide and/or strontium oxide, and wherein the carrier material for the precious metals is aluminum oxide or aluminum oxide stabilized by 1 to 6 wt.% lanthanum oxide. - a lower washcoat layer A contains cerium oxide in an amount of 110 to 180 g/L based on the volume of the support body, an alkaline earth compound, and platinum and palladium; - an upper washcoat layer B located above the washcoat layer A contains cerium oxide, and platinum, palladium and rhodium, and is free of alkali compounds and alkaline earth compounds; - the ratio of the cerium oxide in washcoat layer A to cerium oxide in washcoat layer B, calculated in each case in g/L, based on the volume of the support body, is 1:1 to 5:1, wherein the total of cerium oxide in washcoat layer A and washcoat layer B, calculated in g/L and based on the volume of the support body, is 132 to 240 g/L; - the ratio Pt:Pd, calculated in each case in g/L, based on the volume of the support body, in washcoat layer A and washcoat layer B is equal and is 2:1 to 20:1; - the totals of platinum and palladium, calculated in each case in g/L and based on the volume of the support body, in washcoat layer A and washcoat layer B are equal; and - the ratio of the concentrations of platinum and palladium in washcoat layer A to platinum and palladium in washcoat layer B, in each case based on the total mass of the respective washcoat layer, calculated in each case in g/L, based on the volume of the support body, is 1:1 to 1:5, wherein the alkaline earth compound in washcoat layer A is magnesium oxide, barium oxide and/or strontium oxide, and wherein the carrier material for the precious metals is aluminum oxide or aluminum oxide stabilized by 1 to 6 wt.% lanthanum oxide.