Considering elasticity and steady-state creep of mudstone and salt rock,numerical experiment approaches are employed to study mechanics and time-dependent law of bedded salt rock under uniaxial and low confining pressure triaxial loadings; the effect of creep rate mismatch between salt rock and mudstone on the creep of bedded salt rock is analyzed. Finally,composite material research methods of laminated composite are preliminary discussed. It is shown that the initial concentrated stresses induced by elastic parameters mismatch are relaxed in the process of creep; stress redistribution induced by creep rate mismatch between salt rock and mudstone is exhibited; interlayer(mudstone) with relatively small steady creep rate obviously influences the creep of bedded salt rock. These analyses reflect the nonlinear creep behavior of bedded salt rock,so as to lay the basis for establishing constitutive law in the future.