The conventional acoustic holography method is not suitable for the measurement of the moving sound source, because the Doppler effect exists in the sound signal, and the beam-forming approach is unable to make quantitative analysis. The approach proposed in this paper establishes the time-space relation between the measurement field, the radiating field and the acoustic holography field, and puts forward a method of nonlinear time-mapping between the sound source and the measured signal. Based on the acoustic source eigen-function, the acoustic pressure distribution of the acoustic holography field in the time domain is obtained, in which the Doppler effect is eliminated. The sound field of the surface of the moving sound source is reconstructed by acoustic holography method, and the quantitative analysis of the major sound source is realized. This method has been used in the experiment of measuring the moving sound sources, and satisfactory results proved the effectiveness of the method.