The invention relates to a resonant earthed system fault line selection method with invariant moments. The method comprises the following steps that S1, zero-sequence current waveforms measured at the head ends of all circuits within a working frequency period are recorded after a fault occurs; S2, the point gray levels of curves of all the measured zero-sequence current waveforms are one, the other point gray levels are zero, and an image gray level distribution function F(t, i) is obtained; S3, the image gray level distribution function F(t, i) of the obtained zero-sequence current waveforms is substituted in an invariant moment formula, 11 invariant moments reflecting image characteristics are obtained, and four invariant moment characteristic quantities, psi4, psi6, psi9 and psi11 expressing an image axial symmetry relation are extracted; S4, spectrum clustering analysis is carried out on the invariant moment characteristic quantities, psi4, psi6, psi9 and psi11, and a cluster tree is output; S5, according to cluster validity indexes, the optimal cluster tree is selected out, and fault line selection is carried out. The method is accurate in line selection, and can improve reliability of power distribution network fault line selection.