An imaging technique for three-dimensional objects termed Fresnel zone plate scanning holography based on the principle of optical scanning holography and the tomographic technique of coded aperture imaging is proposed. The scanning hologram of an object is the convolution of the transmittance of the object with the intensity distribution of the Fresnel zone plate and the reconstruction of the hologram is obtained by correlation operation. The system based on Fresnel zone plate scanning holography is simple and compact. Especially, it can realized optical tomograms of an object. A method of high-pass filtering is proposed to reduce the background noise of the reconstruction. Both the computer simulation and the experiments demonstrate that the principle of the technique is right, the tomograms of an object is obtained using the technique, and the contrast of the reconstruction is improved with high-pass filtering.