In order to solve the problem of low accuracy and reliability of fault line selection in small current grounding distribution network system when single-phase high resistance grounding fault occurs, a fault line selection scheme based on improved complete ensemble empirical mode decomposition(ICEEMDAN) and Hausdroff distance was proposed. In a small current grounding system, by analyzing the zero-sequence current of a single-phase grounding fault, it is found that there is an obvious difference between the waveform of the IMF component of the line selected by using the principle of maximum correlation coefficient after ICEEMDAN decomposition between the fault and the healthy line’s zero-sequence current. The Hausdroff distance algorithm was used to quantify and compare the waveform differences between the intrinsic mode function(IMF) components of the lines for fault selection. At the same time, the IMF components of the lines were standardized to construct two criteria based on the Hausdroff distance, and the scheme and process of fault selection were planned. The calculation verification analysis was carried out by using PSCAD/EMTDC, MATLAB simulation and test recording. The results show that the line selection scheme is reliable and accurate, and it is also applicable to fault line selection when a single-phase high resistance ground occurs in the distribution network.