There is a problem that traditional reclosing strategy blindly recloses without discriminating the nature of the fault, and the failure of reclosing will result in a secondary impact on the system. Thus an adaptive autoreclosing strategy based on the reactive power of the fault phase for double-circuit transmission lines with a shunt reactor is proposed. First, a quasi two-phase tripping strategy is proposed to provide sufficient coupling electric quantity for the fault phase in the line-to-line grounded faults. Secondly, based on the huge difference of reactive power between the transient and permanent faults, a line-to-line grounded faults arc extinguishing criterion based on reactive power is proposed. Thirdly, based on this criterion, the reclosing strategy is proposed. An adaptive reclosure strategy for the line-to-line grounded faults of double-circuit transmission lines with shunt reactors is proposed. Finally, the correctness and reliability of the proposed adaptive reclosure strategy are verified based on PSCAD/EMTDC. This work is supported by the National Natural Science Foundation of China (No. 51877185).