This paper presents the results of applying the Peak Property Method (PPM) to estimate the pyrolysis kinetic parameters of cellulose. The PPM was developed on the basis of the assumption that a specific combination of three peak properties (peak temperature, peak height, and conversion at peak temperature) of a derivative thermogravimetry (DTG) curve would describe a unique thermal reaction. Theoretical DTG curves constructed using the kinetic parameters derived from the PPM simulate the experimental DTG curves the best among the model-fitting methods. The PPM provides a reaction order of 1.5 for the cellulose pyrolysis reaction, indicating that the first-order kinetics proposed by most previous studies may be inappropriate. Disparity between the activation energies determined by the model-free methods and model-fitting methods including the PPM suggests that a power law equation is not suitable for representing the conversion function of cellulose pyrolysis.