Method for storage and release of carbon dioxide, wherein one a) provides at least one solids reactor for storage and release of carbon dioxide, wherein the at least one solids reactor comprises a fluid-tight housing, which has an interior, at least one inlet for feeding in fluids and at least one outlet for discharging of fluids, wherein the interior of the housing is filled with at least two different solids, wherein the one solid is provided for storage of thermal energy and the other solid is provided for reversible storage and release of carbon dioxide; b) introduces a carbon dioxide-containing exhaust gas into the solids reactor, wherein one compresses the carbon dioxide-containing exhaust gas in such a way that the partial pressure of the carbon dioxide in the carbon dioxide-containing exhaust gas is 1 to 2 bar, wherein the carbon dioxide from the carbon dioxide-containing exhaust gas is stored in the solid for reversible storage and release of the carbon dioxide; c) stops the introduction of the carbon dioxide-containing exhaust gas when the temperature in the interior of the solids reactor is 910 to 960 °C; d) releases the tension of the solids reactor to a pressure of 0.1 to 0.5 bar, after reaching the internal temperature of 910 °C to 960 °C, wherein the carbon dioxide stored in the solid for reversible storage and release of carbon dioxide is released from said solid; e) discharges from the solids reactor the carbon dioxide released again by the tension release from the solid for reversible storage and release of carbon dioxide, namely as long as the temperature in the interior of the solids reactor is 810 to 850 °C; f) compresses the discharged carbon dioxide to normal pressure and stores it. a) provides at least one solids reactor for storage and release of carbon dioxide, wherein the at least one solids reactor comprises a fluid-tight housing, which has an interior, at least one inlet for feeding in fluids and at least one outlet for discharging of fluids, wherein the interior of the housing is filled with at least two different solids, wherein the one solid is provided for storage of thermal energy and the other solid is provided for reversible storage and release of carbon dioxide; b) introduces a carbon dioxide-containing exhaust gas into the solids reactor, wherein one compresses the carbon dioxide-containing exhaust gas in such a way that the partial pressure of the carbon dioxide in the carbon dioxide-containing exhaust gas is 1 to 2 bar, wherein the carbon dioxide from the carbon dioxide-containing exhaust gas is stored in the solid for reversible storage and release of the carbon dioxide; c) stops the introduction of the carbon dioxide-containing exhaust gas when the temperature in the interior of the solids reactor is 910 to 960 °C; d) releases the tension of the solids reactor to a pressure of 0.1 to 0.5 bar, after reaching the internal temperature of 910 °C to 960 °C, wherein the carbon dioxide stored in the solid for reversible storage and release of carbon dioxide is released from said solid; e) discharges from the solids reactor the carbon dioxide released again by the tension release from the solid for reversible storage and release of carbon dioxide, namely as long as the temperature in the interior of the solids reactor is 810 to 850 °C; f) compresses the discharged carbon dioxide to normal pressure and stores it.