$Cu_xFe_{3-x}O_4$ catalyst and $Zn_xFe_{3-x}O_4$ catalyst were synthesized by the air oxidation method with various C(II) and Zn(II) weights. Activated catalysts decomposed carbon dioxide to carbon at $350^{circ}C$, $380^{circ}C$, $410^{circ}C$ and $440^{circ}C$. The value of carbon dioxide decomposition rate for $Cu_{0.003}Fe_{2.997}O_4$ and $Zn_{0.003}Fe_{2.997}O_4$ catslysts than was better catalysts. The decomposed rate of the catalysts is about 85%${sim}$90%. The reaction rate constant(4.00 $psi^{1-{alpha}}/min$) and activation energy(2.62 kcal/mole) of $Cu_{0.003}Fe_{2.997}O_4$ catalyst are better than $Zn_{0.003}Fe_{2.997}O_4$