At present, many three-phase adjustable speed drives still use a Diode Rectifier (DR) or a Semi-Controllable Rectifier (SCR) as the front-end rectifier. However, an AC-DC rectifier will bring a lot of harmonic currents and distort the grid current. The existing harmonic elimination strategy is difficult to apply to multi-drive systems because of its total cost and complexity. This paper proposes a new method combining phase-shift current control and DC modulation to mitigate harmonic currents in multi-drive systems, and the influence of unequal loads among parallel drivers is analyzed. The load adaptive scheme is used to ensure that the amplitude of the current drawn from the grid by each rectifier is equal, thereby enhancing the harmonic elimination effect of the phase shift current control. Simulation and experimental results prove the effectiveness of this scheme in harmonic elimination in a three-phase multi-drive system. This work is supported by the National Natural Science Foundation of China (No. 51877141).