This paper describes the application of current vector control and hybrid modulation in the control of a three-phase multilevel inverter based on 7-level Packed-U-cell (PUC). The PUC in each phase has an isolated DC source and a capacitor which acts as a second voltage source. A closed-loop load current control is necessary to set the capacitor voltage. However, the control of the capacitor voltages is difficult due to the load currents are sinusoidal waveforms. The approach proposed in this paper is similar to the current vector control strategy used in three-phase motors. Park transformation is used to represent the currents in a dq reference system, making easier the control of the load currents. Additionally, it is proposed a multilevel modulation applied to PUC which is based on hybrid modulation (HPWM). This modulation strategy produces less harmonic distortion than a conventional multilevel sinusoidal modulation. Results show that the proposed vector control strategy applied to PUC allows a better control of the PUC capacitor voltages, while the load currents have less harmonic distortion.