A two-dimensional (2D) matched filtering imaging algorithm for synthetic aperture imaging ladar (SAIL) is proposed. This algorithm simultaneously performs quadratic phase matched filtering in range and azimuth direction for the data obtained through heterodyne detection with single frequency local oscillator and linear frequency modulation signal light to achieve target image. The SAIL 2D data-collection equation of point target through heterodyne detection with single frequency local oscillator is presented. Imaging process of the algorithm is mathematically analyzed. Imaging resolutions of the algorithm for the SAIL with rectangular and circular apertures are described specificly. Imaging result of simulated SAIL echo data is presented.