Abstract: A life prediction method for shaft seal of pump includes following steps of: obtaining time domain vibration magnitudes of vibration signals of a pump; establishing a temporal vibration model according to time domain vibration magnitudes; inputting parameters of the pump under operation into temporal vibration model to convert into vibration spectrums by processing a Fourier transform, wherein the parameters include a rotation speed and a number of blades of the pump; extracting characteristic amplitudes of the pump according to vibration spectrums, combining characteristic amplitudes with each other and performing a dimensionality reduction process on characteristic amplitudes to generate characteristic combinations; establishing a life model according to characteristic combinations to store life model in a pump shaft seal life prediction system; and establishing at least one threshold value according to life model to compare at least one threshold value with characteristic amplitudes to determine life of sh