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Due to the flux-mnemonic nature of AlNiCo permanent magnets (PMs), the flux-mnemonic motor can offer efficient online air-gap flux control. By incorporating the flux-mnemonic concept into the hybrid-field doubly salient PM (DSPM) motor structure, the resulting flux-mnemonic DSPM motor can flexibly operate at the magnetizing mode when PMs are fully magnetized or the demagnetizing mode when PMs are fully demagnetized. The key of this paper is to artfully utilize these modes for fault-tolerant operation of the proposed flux-mnemonic DSPM motor drive. Namely, the motor drive works in a remedial magnetizing mode during open-circuit fault, and a remedial demagnetizing mode during short-circuit fault. Comprehensive performance analysis is carried out to verify the validity of the proposed fault-tolerant flux-mnemonic DSPM motor drive.