The high pressure grinding rolls is one of the few new comminution devices that offer substantial savings when compared with traditional crushing and grinding circuits and with SAG milling. The machine has been well accepted in the cement industry, but mining companies have been more cautious in adopting this technology, partly because of wear and availability problems, and partly because of uncertainties in designing circuits which will deliver the power savings without complicating downstream processing. This paper addresses the latter problem by providing a model structure for predicting power draft and throughput from measurements made with small pilot scale high pressure rolls. Three existing models for predicting product size distributions are assessed and suggestions made for future work. The model structure comprises a power equation, incorporating measurements of torque and rolls speed previously used by the authors. Transport through the mill is assumed to be plug flow. Throughput is governed by the equilibrium gap between the rolls, which is determined both by machine settings and the physical properties of the feed material, including its size distribution. Therefore some form of physical testing in a model machine is required to determine throughput parameters. Results from copper and nickel ore experiments covering a wide range of machine conditions are presented and compared with model predictions. Model assumptions are discussed and directions for future work Suggested.