ZnxFe3-xO4(0.00.<X<0.08) was synthesized by air oxidation method for the decomposition of carbon dioxide. We investigated the characteristics of catalyst, the form of methane by gas chromatograph after decomposition of carbon dioxide and kinetic parameter. ZnxFe3-xO4(0.00.<X<0.08) was spinel type structure. The surface areas of catalysts(ZnxFe3-xO4(0.00.<X<0.08)) were 15~27 m2/g. The shape of Zn0.003Fe2.997O4 was sphere. The optimum temperature for the decomposition of carbon dioxide into carbon was 350℃. Zn0.003Fe2.997O4 showed the 85% decomposition rate of carbon dioxide and the degree of reduction by hydrogen(δ) of Zn0.003Fe2.997O4 was 0.32. At 350℃, the reaction rate constant and activation energy of Zn0.003Fe2.997O3.68 for the decomposition of carbon dioxide into carbon were 3.10 psi1-α/min and 0.98 kcal/mole respectively. After the carbon dioxide was decomposed, the carbon which was absorbed on the catalyst surface was reacted with hydrogen and it became methane.