Considering the geological formation characteristics of bedded salt rock in China, triaxial compression tests were carried out on samples of bedded model material. The influences of interface inclination on stress-strain curves, compressive strength, elastic modulus, stress decreases after the peak stresses and damage modes of samples of bedded model material are discussed; and theoretical analyses are carried out on the damage modes of samples with varying inclinations. Testing results and theoretical analyses show that: (1) The triaxial compressive strength increases firstly and decreases afterwards as the interface inclination increase; and it reaches the minimum and the maximum when the interface inclination is 60°and 90°, respectively. (2) Its elastic modulus increases as the inclination increase with the increasing trend slow at the start of inclination increasing, and then fast when the inclination gets near 90°. (3) The Stress decreases after peak stresses lessen firstly and increase afterwards as the interface inclination increase; and it reaches its minimum and maximum when the inclination is 30°and 90°, respectively. (4) As the interface inclination increase, damage modes show the law of damage from conjugate shear damage(the interface inclination is 0°), shear failure along the poor-strength surface(the interface inclinations are 30°and 60°) to shear and local splitting failure(the inclination is 90°). (5) The top and bottom of the storage are of high-strength but high brittleness; and measures should be taken to control their displacement and deformation; and the waist and adjacent places of the storage(30°and 60°of the storage) are of low strength and high plasticity; and careful design should be adopted for its shape and running pressure. Theoretical analyses are carried out on the results of the triaxial compression experiments, so as to offer a certain reference to further analyses of storage stability in bedded salt rock areas.