This paper describes a parametric study of the mechanical behaviour of self-pierced riveted (SPR) joints of steel sheets in two loading conditions (lap-shear and cross-tension). Higher strength was always observed in lap-shear testing than in cross-tension. In both loading conditions, the strength of a joint was greatly influenced by the hardness and thickness of sheet materials and die depth. An empirical model was developed to predict the joint strength in cross-tension loading using characteristic joint data determined directly from the SPR process (force-displacement) curve. All predictions of joint strength fell within 10% of the measured joint strength. Finally, a relationship was established between the joint strength in lap shear and cross-tension with less than 8% error. The developed relationship provides a useful tool for further studies especially for different rivet and die geometry.