Abstract: Several groups of fatigue damage parameters under threetypical loading cases (i.e., fully reversed tensional, fully reversedtorsional and 90^\circ non-proportional loading) are discussed in this paperand a new life prediction model for multiaxial high-cycle fatigue isproposed. The proposed model is based on a nonlinear combination of themaximum shear stress amplitude and maximum normal stress on the criticalplane defined by the plane of maximum shear stress range. A compromisingsolution to correct the mean normal stress acting on the critical plane isalso proposed. The new model also extends the range of metallic materials.The predictions based on the presented model show a good agreement with testdata.