This paper proposes a control scheme for a Hybrid asymmetric multilevel converter with floating cells. This control approach generates three-phase current with one main cell and one floating cell per phase. Main cell, composed by a threephase three-level converter, is handled by using a space vector algorithm, and floating cells, composed by a H-Bridge cell, are controlled by a predictive control. This strategy is used to control the floating capacitors voltages to maintain an asymmetry to maximize the number of levels of the load voltage, and also manage the reactive power to reduce the harmonics produced by the main cell, which also provides the active power to the load. Thus, the proposed control strategy improves the load current quality with a reduced number of calculation and results are presented in simulations.