Shear and tensile strengths are two aspects of the mechanical properties of structural soil. Firstly, this study determined the tensile strength of structural loess through experimental testing. Secondly, the hyperbola strength of structural loess was determined by combining the test results of tensile and shear strengths, and the algorithm was further investigated by modifying the corresponding failure stress according to the hyperbola strength. Thirdly, the structural parameter of stress ratio and the structure property were introduced into the hyperbola strength theory of structural loess. Finally, this study analysed the triggering mechanism of structural loess's landslide disaster. The results proved that the rainfall increased the water content of the slope soil. Hence, the structure property of the structural loess decreased, which led to a reduction in its tensile strength. The safety factor of the structural loess slope gradually decreased with the occurrence of instability. The hyperbola strength of structured loess established in this study effectively overcame the defect of exaggerated tensile strength based on the Mohr-coulomb strength theory and provided a practical strength theory that evaluates the engineering disasters of structural loess slope.