To perceive the external world stably, humans must integrate and manage continuous streams of information from various sensory modalities, in addition to drawing on past experiences and knowledge. In this study, we introduce a novel visuo-tactile illusion elicited by a visual-depth-reversal stimulus. The stimulus (a model of a building) was constructed so as to produce the same retinal image as an opaque cuboid, although it actually consisted of only three PVC boards forming a three-dimensional corner with the hollow inside facing the observer. Participants holding the model in their palm, therefore, observed, with both eyes or one eye, a building model that could be interpreted as either a concave or a convex cuboid. That is, tactile information from the contact surface contradicted the visual interpretation of a convex cuboid. Questionnaire and experimental results, however, showed that the building model was stably viewed as a standing cuboid, particularly under monocular observation. Participants also reported feeling a stable touch of the shrinking base of the apparently standing building model, thus ignoring the veridical contact surface. Given that the visual-tactile information was unchanged with or without the illusion and that the experimental task was tactile estimation, it is remarkable that participants failed to perceive actual touch based on the object's appearance. Results indicate the complexity and flexibility of visual-tactile integration processes. We also discuss the possibility that object knowledge influences visual-tactile integration.