In　this　paper,　we　investigate　the　genuine　entanglement　in　tripartite　systems　based　on　partial　transposition　and　the　norm　of　correlation　tensors　of　the　density　matrices.　We　first　derive　an　analytical　sufficient　criterion　to　detect　genuine　entanglement　of　tripartite　qubit　states　combining　with　the　partial　transposition　of　the　density　matrices.　Then,　we　use　the　norm　of　correlation　tensors　to　study　genuine　entanglement　for　tripartite　qudit　quantum　states　and　obtain　a　genuine　entanglement　criterion　by　constructing　certain　matrices.　With　detailed　examples,　our　results　are　seen　to　be　able　to　detect　more　genuine　tripartite　entangled　states　than　previous　studies.