A Linnik type full-field optical coherence tomography (FF-OCT) system is developed for tomographic imaging of biological cells. Different from other imaging methods used in FF-OCT systems, an image restoration method based on Hilbert transform is adopted, which requires only two interference images to recover the structure information of the sample. Even if the phase shift error occurs, the sample chromatogram can still be obtained. The measured longitudinal and lateral resolutions of the system reach 1.1 μm and 2.5 μm, respectively. Feasibility of the FF-OCT system is verified by preliminary imaging experiments of onion epidermal cells, and it lays foundation for the further realization of high resolution cell imaging.