The paper proposes the approach to eliminating the ambiguity of radial velocity measurements in the FMCW automotive radar on millimeter waves. The method involves obtaining the approximate estimate of the radial velocity at the time of trajectory detection and determining the true Nyquist zone with subsequent correction of the measured velocity. The proposed method does not have difficulties associated with alternating fast chirps and the use of multiple frames with different periods of repetition of chirps, both of which require computationally complex algorithms to solve the assignment problem. Additionally, with a low SNR, high reliability of the algorithm is ensured.