The invention relates to a method of reconstructing a circular stable sound source through the boundary element method in the signal reconstruction technical field. Through setting the sound source to be measured, a microphone array and a reference source microphone, the invention synchronously records the acquired reference signal and holographic measuring point sound pressure, obtains a reference phase from the reference signal, obtains the relative phase relation of the holographic measuring point source pressure acquired by the microphone array through the phase relation between the reference signal and the holographic measuring point source pressure, and finally obtains the self-spectrum correlated density vector of the sound source signal to be measured through reconstruction computing via the boundary element method. Through the reconstruction of the sound source signal on the holographic measurement surface acquired by the microphone array, the method can analyze the sound source with random shape and obtain the three-dimensional spectrum correlated density distribution of the sound source. Compared with the traditional method of identifying the sound source through the near-field acoustic holographic technology, the method can be applicable to the circular stable sound source with breakthrough on the requirements of the shape of the sound source.