The hyperbolic model is a simple stress-strain relationship based on the concept of incrementally nonlinear elastic behavior. The hyperbolic stress-strain relationship was developed for use in finite element analysis of stresses and movements in earth masses. To estimate hyperbolic parameter values required for nonlinear finite element analysis, data used from the triaxial compression tests for the gypseous soils exposed to the effect of drying and wetting cycles carried out by (Mohammed, 1993). From these data, the parameters (C, φ, K, n, Rf), which are required by Duncan-Chang model, 1970 can obtained for analyses of dams, excavations and various types of soil-structure interaction problems. In addition, it can be found that the primary loading modulus, K, the exponent number, n, and the failure ratio, Rf, have random values during rewetting cycles for CU and UU triaxial compression tests