This paper proposes an adaptive single-pole reclosing method for uncompensated high-voltage transmission lines. This method is based on the dependence of the fundamental-frequency line-side voltage of the faulted phase on the equivalent fault path resistance representing the arc state and the healthy phase power flow. The moment of stabilisation of the post-arc regime is determined by the absolute value of the real part and the rate of change of the real and imaginary parts of this voltage, ensuring restoration of sufficient insulation strength. The setting is adapted on the basis of interconnected models used for online estimation of the pre-fault regime, fault distance estimation, calculation of the double line interruption regime of the whole network with symmetrical components to estimate infeed for the detailed line model and threshold voltage determination by line model output. The dynamic MATLAB SimPowerSystems simulations under different load flow and arc conditions demonstrate the feasibility and performance of the proposed method.