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We investigate the sensitivity of the anomalous dimension-8 neutral triple gauge couplings via process pp→ννγ with fast detector simulation including pile-up effects for the post LHC experiments. The transverse momentum of the final state photon and missing energy transverse distributions are considered in the analysis. We obtain the sensitivity to the CB˜W/Λ4, CBB/Λ4, CWW/Λ4 and CBW/Λ4 couplings at HL-LHC and HE-LHC with an integrated luminosity of 3 ab−1 and 15 ab−1, respectively. Finally, our numerical results show that one can reach the constraints at 95% confidence level without systematic error on CB˜W/Λ4, CBB/Λ4, CWW/Λ4 and CBW/Λ4 couplings for HL-LHC (HE-LHC) as [−0.38;0.38]([−0.12;0.12]), [−0.21;0.21]([−0.085;0.085]), [−1.08;1.08]([−0.38;0.38]) and [−0.48;0.48]([−0.25;0.25]), respectively. They are better than the experimental limits obtained by LHC.