For　the　conservativeness　and　computational　delay　of　the　traditional　finite　control　set　model　predictive　control　(FCS-MPC),　a　multi-step　model　predictive　voltage　control　method　based　on　finite　control　set　(FCS-MMPVC)　with　delay　compensation　method　is　proposed　in　this　paper,　and　the　proposed　method　is　validated　on　a　three-level　three-phase　voltage　source　PV　inverter.　In　each　control　cycle,　the　27　voltage　vectors　for　inverters　are　evaluated　on　line　based　on　predictive　model　to　obtain　the　optimal　and　suboptimal　switching　state.　The　selected　switching　state　is　optimal　in　two　control　cycle　with　the　proposed　method.　Considering　that　the　time　spent　in　the　actual　sampling　and　calculation　process　cannot　be　ignored,　the　delay　compensation　is　added　in　FCS-MMPVC　algorithm.　The　simulation　and　experimental　results　show　that　the　proposed　method　has　good　stability　and　reliability.　Compared　with　the　traditional　FCS-MPC　algorithm,　the　proposed　method　can　reduce　the　difference　significantly　between　the　output　voltage　and　the　reference　under　the　unbalanced　and　non-linear　load,　and　the　output　voltage　quality　of　the　inverter　is　improved.　©　1986-2012　IEEE.