A micro quantitative phase imaging method based on quadriwave shearing interferometry is proposed. A chessboard phase grating is used to get the interferogram of biological samples, and the phase information is obtained by the fast Fourier transform method. A pack of wavefront produced by the micro-electromechanical systems is measured, and the ZYGO interferometer is used for comparision. The error of phase measurement is not more than 3%, which verifies phase detection accuracy of the quadriwave shearing interferometer. A quantitative phase imaging system based on the quadriwave shearing interferometry is established, and a clear quantitative phase image is obtained from murine hepatoma cell. The experimental results show that the system based on the quadriwave shearing interferometry can achieve high-precision quantitative phase imaging, and is suitable for phase imaging of biological living cells.