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We propose a new dihedral angle observable for measuring the CP property of the interaction between the top quark and Higgs boson in ttH production at the 14 TeV Large Hadron Collider(LHC).We consider two de-cay modes of the Higgs boson,H-bb and H—yy,and demonstrate that the dihedral angle distribution is able to distinguish between the CP-even and the CP-odd hypothesis at a 95％confidence level,with an integrated luminos-ity of～180 fb-1.