We　show　a　general　W　state　of　N-particle　entanglement.　Using　four　pairs　of　two-particle　non-maximally　entanglement　states,　we　give　a　general　scheme　of　probabilistic　teleportation　of　the　four-particle　general　W　state　by　constructing　a　5×5　projection　transformation　matrix　different　from　the　other　references.　The　general　scheme　overcomes　the　difficulty　of　having　to　introduce　an　auxiliary　state　|0〉A　in　order　to　get　a　complex　unitary　transformation　matrix.　Thus,　we　need　not　perform　more　operations　and　measurements　than　the　past　researches.　We　then　give　a　general　scheme　of　the　probabilistic　teleportation　of　the　N-particle　general　W　state　by　means　of　N　pairs　of　general　entanglement　particles,　and　the　scheme　may　be　applied　to　all　the　researches　and　calculation　about　the　probabilistic　teleportation　of　N-particle　entanglement　general　state　by　means　of　N　pairs　of　general　entanglement　particles,　and　may　simplify　their　researches,　calculation,　physical　operations　and　measurements.　©　World　Scientific　Publishing　Company.