The stress models of a cyclic fatigue test for structural ceramics were developed using the theory of fracture mechanics to predict the accurate life cycles of the specimens. Four kinds of models were tried to obtain the representative stresses corresponding to the cyclic stresses applied to the alumina specimens. Crack-growth exponents of 21.81, 22.15, 24.57 and 24.43 were obtained from the arithmetic mean stress model, the integrated stress model, the maximum stress model, and the equivalent static stress model, respectively. It is considered that the equivalent static stress model is the most reasonable and gives the most accurate value of the crack-growth exponent from the view point of the theoretical background for developing the model.