A　fault-tolerant　direct　torque　control　(DTC)　strategy　for　six-phase　symmetrical　winding　shifted-phase　60　degrees　permanent　magnet　synchronous　motor　with　arbitrary　two　opened　phases　is　proposed　in　this　paper.　First,　the　relationship　between　flux　and　electromagnetic　torque　based　on　the　modified　stator　flux　and　modified　rotor　flux　is　researched.　Second,　the　optimal　control　strategy　based　on　the　relationship　between　modified　stator　voltage　vector　and　modified　stator　flux　on　alpha　beta　plane,　and　the　relationship　between　zero-sequence　voltage　and　zero-sequence　current　is　constructed.　According　to　the　control　strategy,　the　modified　stator　flux,　electromagnetic　torque,　and　zero-sequence　current　are　controlled　by　different　switching　combinations　of　four-phase　inverter　bridge.　The　results　of　analysis　and　experiments　show　that　the　presented　DTC　drive　system　has　fast　and　smooth　torque　response,　and　the　four-phase　stator　currents　with　same　peak　value　are　sinusoidal　due　to　the　controlled　zero　sequence　current.