The combustion process of pulverized-coal is widely used in different industries as a supplier of energy. In order to investigate the influence of heating rate on the combustion kinetics of pulverized-coal, the study of combustion pulverized-coal at different heating rates (20 ℃/min, 25 ℃/min, 30 ℃/min, and 35 ℃/min) was conducted by thermogravimetric analysis. The results show that the entire combustion process indicates a thermal hysteresis phenomenon with heating rate increasing. According to the characteristics of the pulverized-coal combustion, the combustion process from ignition temperature to burnout temperature is divided into two regions according to the temperature where the reaction rate curve reaches the valley value. Then, interfacial chemical reaction model and internal diffusion model are successfully applied to describe the two regions of combustion process. The obtained corresponding kinetic parameters show that the kinetic compensation effect between activation energy E_ai and pre-exponential factor A_i for different heating rates is expressed as ln A_i=aE_ai+b and the influence of heating rate β on activation energy E_ai can be described as E_ai=△E_aln β_i+E_a0. Later, the Arrhenius equation (ln k_i=-E_a0/RT+ln A₀) is modified as ln k_i=-E_a0/RT+△E_a(a-1/RT)ln β_i+ln A₀ to describe the influence of heating rate β on the rate constant k of pulverized-coal combustion. Finally, the extrapolation reliability of the modified Arrhenius equation is validated by the experimental data at different heating rates(10 ℃/min, 15 ℃/min, 40 ℃/min, and 45 ℃/min). Therefore, the modified Arrhenius equation is not only the most expedient way to depict the combustion kinetic at different heating rates, but also provides extrapolation reliability over a broad range.