In this paper, the finite element analysis of Ansys software and theoretical analysis was used to study the variation of the flat compression stiffness of the oblique column reinforced sandwich structure with the inclination of the rod and the radius of the rod. The results showed that the inclination angle of the rod increased from 45°. At 90°, the equivalent flat modulus increases by 2 times. When the tilt angle increases from 45° to 70°, as the angle increases, the equivalent flat modulus increases and the rate of change also increases, when the angle of inclination increases. When the angle is greater than 70°, the angle continues to increase, and the rate of change of the equivalent flat compressive modulus gradually becomes slower. The increase in the slanting column radius increases the flat compressive modulus, but increases the upper limit, and at the same time, the increase in radius causes an increase in mass, resulting in a decrease in the specific rigidity. The functional equivalent relationship between the modulus of elasticity and the structural parameters was deduced using the theory of mechanical equivalence. The functional relationship was used to predict the modulus of elasticity. The predicted results were in good agreement with the results of the finite element simulation. The configuration parameter selection provides reference guidance, and the functional relationship can also easily predict the influence of other structural parameters on the Z-stiffness of the sandwich structure.