A system and method to achieve angular ambiguity resolution in a two-dimensional Doppler synthetic aperture radar system include transmitting pulses using a plurality of transmit elements during movement of a platform on which the system is mounted. Reflections are received from a target resulting from the pulses and the reflections are processed to determine a Doppler measurement. The processing includes isolating movement of the target in the Doppler measurement, and determining a target azimuth angle and a target elevation angle to the target based on an iterative process that includes estimating the target elevation angle or the target azimuth angle and then determining the target azimuth angle or the target elevation angle, respectively, based on a beamforming matrix. The beamforming matrix indicates amplitude and phase at each azimuth angle and each elevation angle among a set of azimuth angles and a set of elevation angles.