The imaging fundamental principle of Fourier telescopy is introduced. In order to verify the validity of the technology, an imaging verification system of four beams had been completed in laboratory. The control, detection and signal processing software were designed based on LabVIEW. Two-dimensional spectra of objection were extracted by straight line fringe. With the phase closure technology, the phase factor being independent of image is eliminated and the reconstruction images of the object were obtained. Finally, the factors affecting the imaging quality are analyzed.