A hypoid gear is a type of spiral bevel gear whose axis does not intersect with the axis of the meshing gear. The size of a hypoid gear is compact and the ratio of contact is high; therefore, the noise is lower than in other types. Due to these characteristics, the hypoid gear is commonly used in manufacturing processes such as those of escalators and subway screen doors. The purpose of this paper is to develop a reducer using the hypoid gear. In order to check the stability of the proposed reducer, 3D modeling is carried out by CATIA, and a structural analysis is performed using FEM (a finite element method).