We introduce a novel approach to capturing light field with lensless cameras. By moving the cameras back and forth, we capture a set of images. We show that it is possible to reconstruct the light field from these blurry images. The problem is formulized in a way similar to computer tomography, so that the light field can be reconstructed using existing algorithms. The light field can then be used to render 3D scenes. Synthetic examples are presented to show the effectiveness of the proposed method.