Densification of a gas-atomized, Cr-containing Ni3Al-X intermetallic powder consolidated by hot isostatic pressing (HIP) was experimentally determined and also simulated using the Ashby model that describes mechanisms governing the deformation and consolidation during the process. The model has been applied to develop HIP diagrams, using best estimates or available values of input data on material properties so that the established HIP diagrams demonstrated a reasonable accuracy to allow prediction of the densification rates and controlling deformation mechanisms for this intermetallic alloy. It is believed that differences between the predicted and the experimentally determined densification of this material resulted mainly from the difficulty in estimating complex properties of this material which has an unusual property-temperature relationship and also from the deviation of the real particle size distribution from the monosized particle distribution used in the model.