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To solve the problem of Interline fault of parallel transmission lines, by means of considering the influence of zero sequence mutual inductance of parallel transmission lines a fault location algorithm based on one-terminal electrical data is proposed. Based on the analysis of the relationship of two parallel transmission lines' fault components, the fault location equation for interline fault without ground is derived by the boundary condition of interline fault mode. It is shown that the new method is independent of fault resistance, load condition and source impedance. Extensive simulation studies using PSCAD/EMTDC have verified that this approach can obtain a highly accurate fault distance, it is also proved that the proposed algorithm is independent of transition resistance, system impedance and load situation.