The voltage characteristics of the fault phase in the shunt reactor and the neutral point reactor are analyzed for the EHV transmission lines with shunt reactors. The study shows that in the case of solid permanent grounding， the ratio of the voltage in the fault phase shunt reactor to the voltage in the neutral point reactor is always larger than that for transient faults. Based on the above finding， a method using the voltage in the shunt reactor and neutral point reactor to identify the fault nature is proposed for the single-phase adaptive reclosure of transmission lines with the shunt reactors. EMTP simulation results show that the proposed method is correct and efficient in realizing single-phase adaptive reclosure of EHV transmission lines.