Common-mode voltages in current-source converters used in medium-voltage drives can lead to insulation failure in the motor. This paper analyzes common-mode voltage values under different operating conditions and determines the voltage peaks are produced during the zero states. It adapts non-zero state modulation techniques used in voltage-source converters for use in current-source converters to reduce common-mode voltage magnitude. Specifically, it designs nearest three-state modulation sequences for good low-order harmonic performance when the modulation index is above 0.67 without increasing switching frequency, and proposes a combined active-zero-state modulation technique for indices between 0.4-0.67 to balance current ripple and power factor. Simulation and experimental results validate the