The determination of the CP nature of the Higgs coupling to top quarks is addressed in this paper, using tt¯h events produced in s=13 TeV proton-proton collisions at the LHC. Dileptonic final states are employed, with two oppositely charged leptons and four jets, corresponding to the decays t→bW+→bℓ+νℓ, t¯→b¯W-→b¯ℓ-ν¯ℓ, and h→bb¯. Pure scalar (h=H), pure pseudoscalar (h=A), and CP-violating Higgs boson signal ...