We realized a real-time electroholography for the aerial display of a three-dimensional object that were interactively transformed by a user. The hidden surface of a 3D computer graphics model composed of polygons was removed using ray casting and the coordinate data of a 3D point cloud model was generated for electroholography. Furthermore, the light color data of the 3D point cloud model was obtained using ray tracing. Finally, we succeed in a real-time and interactive electroholography using a single GPU board (NVIDIA GeForce RTX 3080).