In antislide structures with continuous ladders (ASCLs), horizontal and vertical reinforced concrete antislide members connected in continuous ladders, head to tail, are set along the slip surfaces of slopes. The antislide members are connected with each other and anchored in the solid bedrock from the sliding mass to the sliding zone to resist the landslide thrust and replace the soft materials in the sliding zone. The effects of ASCLs, which are complex and hyperstatic mechanical systems, are calculated by using different numerical simulation software programs and compared with engineering practice experience. However, these effects are uncertain and the use of other analysis methods is required to verify them. In this paper, first, the antislide mechanism of these structures was proposed. Second, the slip surfaces were taken as boundaries, and the ASCL of the Houzishi landslides was taken as an example. Third, the stress models of the structures and load effects were simplified, and then, an ASCL stress calculation method was established to obtain the expressions for structural stress analysis by using the displacement method of structural mechanics, elastic foundation beam method, and boundary constraints. A comparison of the results of the structural stress from the analytical methods and numerical simulation methods indicated that the whole displacement of the structures exhibited a domino effect, which was downwards to the right. The trends of the structural stress determined with the analytical methods and numerical simulation methods were similar. The ultimate results of the analytical methods and the ultimate results of the numerical simulation methods were also similar. The conclusions proposed that the ultimate results of the analytical methods exhibited a hysteretic effect, unlike the ultimate results of the numerical simulation methods. The ultimate results of the analytical methods and numerical simulation methods were adopted for the design of structural stress based on the principle of internal stress envelope diagrams.