Aiming at the confidential communication based on information hiding technology, an information hiding algorithm using interval analysis of values on Z-axis for the vertical profile of three-dimensional (3D) models was proposed. First, the 3D model was scaled and rotated disproportionately according to fixed size and angle respectively, and the vertical profile could be obtained by horizontal mapping. Second, the vertical profile was mapped into the two-dimensional coordinate system and the values on the vertical axis could be determined using a fixed step size. Last, the vertical values were converted into binary numbers with interval constraints according to the fixed threshold. By disproportionate scaling with fixed size, the algorithm could be effective against the scaling attack. According to the fixed rotated angle and step size, the data could be embedded in redundancy of the whole model and the algorithm could be robust against cutting. The experimental results illustrate that this algorithm is of strong robustness against the random noise under 0.2%, re-meshing and non-uniform simplification.