In this paper, we propose an approach for construction of a projective 3D voxel space based on epipolar geometry obtained with weak calibration. This concept of voxel space defines the epipolar lines following to the coordinate axis. In the field of computer vision, it is common to reconstruct 3D geometry data based on camera calibration data and disparities of matching points in each image. In the case that the goal of the system is generating the images from another point of view, complete 3D geometry reconstruction is not presently required. However, detecting the consistent matching points in several pairs of images without complete 3D geometry information is difficult. This paper describes the concept of projective 3D voxel, which makes it possible to handle 3D geometric data without complete 3D geometry information.