The development of some predictive models for the geomechanical properties of fault breccias will be useful for geo-engineers, because the preparation of smooth specimens from the fault breccias is usually tedious and expensive. In this study, simple and multiple regression analysis were applied to the data pertaining to Misis Fault Breccia to develop predictive models for the differential stress (Delta sigma) from non-destructive methods including the Cerchar abrasivity index (CAI). As a result of simple regression analysis, strong relations between Delta sigma and indirect properties were not found. The CAI was included in the best multiple regression model for the prediction of Delta sigma. The significance of derived models was statistically tested. It was concluded that the CAI is a useful property for the prediction of Delta sigma of Misis Fault Breccia.