Modeling of coal-reaction processes has received significant emphasis over the past decade. Yet, model development has not reached the point where significant use is made in process development for coal utilization. One of the key recommendations from a panel of industrial and university professionals to the U.S. Department of Energy on research needs for coal utilization was that “Development of combustion models is needed to the point where they will find application in the management and control of practical systems.” The purpose of this publication is to present a review and evaluation of the development of coal-reaction models. Coal-combustion models are classified and potential uses identified. Then, the state of development of models for fixed (or slowly moving) beds, fluidized beds and suspended (or entrained) beds is presented. Six fixed-bed models, ten fluidized-bed models and thirteen suspended-bed models are reviewed and compared. Selected comparisons of model predictions with measurements are shown and research needs are noted. Emphasis is placed on suspended-bed models.