This paper proposes a novel five-dimensional switching table-based direct torque control (5D-DTC) strategy for asymmetrical six-phase induction machines (6PIMs). As is wellknown, classical DTC of 6PIM is penalized by significant stator current harmonics, which are mapped into the non-energy subspace (x − y subspace). The concept of virtual voltage vectors (VVs) has been frequently perceived as able to tackle the problem of x − y currents. Such a concept maintains zero average voltsecond in the x − y subspace, which in turn suppresses current harmonics due to discrete PWM implementation to a great extent compared to the classical DTC. However, it still cannot effectively compensate for x − y currents, mainly arising from dead band effect and machine/converter asymmetry, due to lack of dedicated regulators for x − y currents. Indeed, the x − y currents can be fully suppressed only in the presence of active control over them. This paper incorporates additional hysteresis regulators of x − y currents into the direct torque control strategy. In the proposed 5D-DTC scheme, there are in total five indexes for optimal selection of VVs as torque, stator flux, x − y currents, and stator flux position indexes. In this way, a clustering method is developed for synthesizing VVs to cover all possible cases of the switching table. A beneficial feature in comparison with three-dimensional switching table-based DTC (3D-DTC) is effective suppression of x − y currents with a rather simple structure, without increasing the switching frequency, and without decreasing DC-link utilization. Experimental results confirm the effectiveness of the proposed technique.