The　existing　model　predictive　torque　control　(MPTC)　for　six-phase　and　three-phase　permanent　magnet　synchronous　motor　(PMSM)　series-connected　system　has　some　problems,　such　as　heavy　calculation　burden　and　poor　effect　of　zero-sequence　current　suppression.　To　solve　these　problems,　a　MPTC　with　predictive　switching　table　was　proposed　in　this　paper.　In　order　to　improve　the　calculation　efficiency　of　the　core　processor,　a　predictive　switching　table　is　constructed　based　on　the　basic　principle　of　direct　torque　control.　Only　several　basic　voltage　vectors　are　preselected　to　participate　in　the　control　of　two　PMSMs,　reducing　the　alternative　voltage　vectors.　In　order　to　effectively　suppress　the　zero-sequence　current,　a　zero-sequence　current　suppression　strategy　was　proposed.　All　the　preselected　basic　voltage　vectors　were　synthesized　into　virtual　voltage　vectors　with　zero-sequence　voltage　equal　to　given　value,　so　that　the　optimal　virtual　voltage　vector　selected　by　the　predictive　algorithm　could　meet　the　control　requirements　of　the　system　for　zero-sequence　current.　Experimental　results　verify　the　feasibility　and　effectiveness　of　proposed　control　strategy.　©2022　Chin.Soc.for　Elec.Eng.