In the present paper, the kinetic parameters of the slow pyrolysis of Moroccan eucalyptus wood, a species frequently used in the traditional manufacture of charcoal, are determined by thermogravimetry. The kinetic parameters of Eucalyptus are compared to those of xylan, cellulose and lignin. The Coats-Redfern integral method is used to evaluate the thermogravimetric data obtained. The kinetic plots of xylan, cellulose and lignin give a single line whereas eucalyptus gives a dual-segment. The results obtained show that the activation energy of the first step of the degradation of eucalyptus is lower than the activation energy of the second step. Taking into account, on the one hand, the decomposition intervals of xylan and cellulose, and on the other, the fact that lignin decomposes in the entire temperature interval studied, we interpret the pyrolysis of eucalyptus as being the decomposition of lignin accompanied by that of hemicellulose during the first stage, and by that of cellulose during the second stage.