The effect of quantization noise arising in the course of digital processing of the signal of a laser Doppler anemometer on the error in Doppler signal frequency estimation in the time domain is considered. It is shown that in high-precision measurements the quantization noise that appears in amplitude quantization of the signal of a laser Doppler anemometer is comparable with other noise sources and must be taken into account in estimation of the limiting accuracy of a laser Doppler anemometer. Results of a simulation and experiment are presented.