Grinding is probably the single unit operation that requires the largest capital investment and operating costs in an ore beneficiation plant. Because of that, a great deal of research has been concentrated in the theory, design and operation of grinding equipment, in particular ball mills. To-date, the models developed to describe grinding in tubular mills are macrophenomenological and can be divided into two categories: energetic and kinetic models. This paper presents a new approach to modelling ball mill grinding: The Operational Model. The theoretical aspects of the model as well as a comparison with existing ones are discussed. The concepts of the model, summarised in easy-to-operate PC programs, permit the calculation and design of new ball mills, and a critical evaluation and optimising of mills in operation.