This paper proposes a method for representing overlapping-faces of 3-D virtual origami in order to support beholder?s recognition of its conformation. Generally, an origami model is constructed by planar polygons corresponding to faces of origami. Therefore, when an origami model is displayed, multiple faces (polygons) on the same plane are probably recognized as one face. Our proposed method moves such overlapping-faces apart slightly by rotating polygons along a rotation axis determined from shapes and relationships of faces. As a consequence, beholders can recognize the conformation of origami correctly. This method can be applied to the user interface of a system we develop to recognize folding operations from origami drill books.