In　this　article,　a　fault-tolerant　model-free　predictive　controller　(FT-MFPC)　for　cascaded　H-bridge　multilevel　inverters　(CHMLIs)　is　proposed.　FT-MFPC　is　based　on　an　association　of　model-free　predictive　controller　(MFPC)　and　a　proportional-integral　(PI)　like　structure　known　as　current　variation　controller　(CVC).　As　in　MFPC,　the　dynamic　structure　(DS)　that　is　used　for　the　prediction　of　the　system　output　is　obtained　from　past　measurements　of　current　variations,　but　CVC　modifies　the　dynamics　before　they　are　stored　for　prediction.　As　a　consequence,　even　if　the　converter　operates　with　bypassed　modules,　FT-MFPC　adapts　its　DS　to　represent　the　real　dynamics　of　the　system　and　enables　a　closed-loop　response　with　balanced　load　currents　in　unbalanced　CHMLIs.　Simulation　and　experimental　results　validate　the　adaptability　of　the　proposed　strategy　to　operate　a　seven-level　inverter　under　various　configurations　of　bypassed　H-bridge　modules.　The　experimental　results　show　that,　for　different　postfault　operations,　the　maximal　current　total　harmonic　distortion　and　imbalance　factor　at　steady　state　in　the　worst　case　scenario　are　below　5%　and　2%,　respectively.