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One of the most challenging tasks for future high-luminosityelectron-positron colliders is to extract Higgs triple coupling. It wasproposed that this can be carried out via the precisely measuring the crosssection of ZH associated production up to $0.4\%$. In this paper, we examplethe possible heavy pollution from Higgs-top anomalous coupling. Our numericalresults show that the pollution is small for $\sqrt{s}_{e^+e^-}= 240 GeV$.However for the higher energy collider, pollution is sizable, which should betaken into account. We further explored the possibility to measure CP-violatedHiggs top coupling, via the forward-backward asymmetry $A_{FB}$ for the process$e^+e^- \rightarrow ZH$. The asymmetry can reach $0.7\%$ which is comparable tothe precision of cross section measurement.

Anomalous Higgs-top Coupling Pollution on Triple Higgs Coupling Extraction at Future High-Luminosity Electron-Positron Collider