A　setup　of　the　lensless　Fourier　transform　digital　holography　is　built　to　get　the　quantitative　high-fidelity　phase-contrast　images　of　the　biological　samples.　The　basic　advantage　of　such　system　is　that　the　numerical　reconstruction　is　directly　applying　only　once　fast　Fourier　transform　to　the　intensity　distribution　of　the　hologram.　However,　the　aberration　appears　in　the　phase　image　obtained　by　this　kind　of　reconstruction　algorithm　and　degrades　the　quality　of　the　phase　image　seriously.　Then,　two-step　subtraction　method　is　applied　to　correct　the　phase　aberration.　In　the　experiments,　at　first　two　biological　sample-plates　for　teaching　are　used　as　the　objects,　which　are　the　mouse　of　the　skeeter　and　the　epidermal　cells　of　the　onion　respectively.　Then　the　living　free-of-marker　cervical　carvinoma　cells　are　presented　as　the　object.　Not　only　the　clear　morphologies　of　the　static　biological　samples,　but　also　the　dynamic　variations　of　the　living　cells　are　observed.　The　experimental　results　verify　the　validity　of　the　digital　holographic　microscopy　for　the　quantitative　phase-contrast　imaging　of　the　biological　samples.