The effect of a coal-burning additive (CBA) on the calorific values of a high-rank coal and a low-rank coal was determined by using combustion calorimetry. The results showed that CBA has no significant effect on the calorific values of the two coals. The catalytic and accelerating effects of CBA on the burning of the two coals were studied with the help of thermogravimetric (TG) analysis. CBA speeds up the burning/oxidation of the coals. The effect of CBA due to its catalysis focuses on the burning of the carbons of the coals. The more the combustible carbons in a coal, the more is the effective accelerating effects of CBA on the burning of the coal. In addition, the catalysis of CBA on the oxidation of a graphite was observed. The kinetic study on the catalytic oxidation of the graphite by CIBA was also carried out and the results were presented.