Based on a theoretical study, we show that the interfacial Dzyaloshinskii-Moriya interaction results in very efficient current-induced manipulation of a transverse domain wall in magnetic nanowires. The efficient domain wall motion is caused by combined effects of the domain wall distortion induced by the interfacial Dzyaloshinskii-Moriya interaction and the damping-like spin-orbit spin transfer torque. We find that with reasonable parameters, the domain wall velocity reaches a few hundreds m/s at the current density of 10(7) A/cm(2), which has never been achieved before. Our result will be beneficial for low-power operation of domain wall devices. (C) 2015 Elsevier B.V. All rights reserved.