Subjected to a fixed dc-link voltage, this paper presents a novel flux-weakening control combined with magnetization state for the hybrid permanent magnet axial field flux-switching memory machine. Due to the flux regulation characteristic, the wide speed range can be further extended and the torque output can also be enhanced. The machine configuration is introduced and its distinct features are analyzed. The mathematical model of the machine is built based on the rotor reference frame. Then, the proposed control strategy is addressed from multiple aspects including the control mechanism, the current distribution strategy, and the voltage and current trajectory. Both the simulation and experimentation are carried out to evaluate the machine performance. The results verify the effectiveness of the proposed control strategy.