This article proposes a novel remedial direct torque control (RDTC) for the postfault operation of the dual three-phase permanent-magnet (DTP-PM) motor. The DTP-PM motor is configured as a two-neutral points model and fed by an eight-leg voltage source inverter. Also, the harmonic torque induced by the third harmonic back electromotive force and zero-sequence currents is considered at the postfault operation. First, the switching tables for different fault conditions are pre-established. The proposed strategy can be applied to different postfault operations with one phase open by replacing the switching table simply. At the normal operation, the redundant auxiliary legs are disabled. So, the proposed eight-leg voltage inverter is the same as the conventional six-leg one. At the postfault operation, the auxiliary leg in the faulty three-phase windings provides an additional control degree of freedom. Hence, the fault-tolerant capability of the DTP-PM motor with two neutral points can be enhanced. Also, the proposed strategy compensates for the harmonic torque by modifying the reference torque. Based on the proposed RDTC, the postfault operational performance can be significantly improved. Finally, the simulations and experiments are conducted to validate the feasibility of the proposed strategy.