We study the LHC searches for the heavy CP-odd Higgs boson A and CP-even Higgs boson H in the context of a general two-Higgs-doublet model. Specifically, we consider the decay mode of A/H -> (tt) over bar through the (tt) over bar associated production channels. In the so-called "alignment limit" of the two-Higgs-doublet model, this decay mode can be the most dominant one. By employing the HEPTopTagger and the multivariate analysis method, we present the search sensitivities for both CP-odd Higgs boson A and CP-even Higgs boson H via this channel with multiple top quarks at the high-luminosity LHC runs.
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