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The study aims to investigate the observability of pseudoscalar Higgs boson$A$ and neutral heavy CP even Higgs boson $H$, at different benchmark points,in the framework of type-I 2HDM. The study is done for $e^{-}e^{+}$ collisionsat $\sqrt{s}$ = 1000 GeV centre of mass energy (c.o.m.) a possible scenario infuture lepton collider. The associated production of $A$ and $H$ in $e+ e-$collisions are investigated in fully hadronic final state in two differentchannels. The first one is $AH \to ZHH \to j\bar{j} b \bar{b}b\bar{b}$ whilethe other one is $AH \to b \bar{b}b\bar{b}$. The observability of neutral heavyHiggs and pseudoscalar Higgs signal is possible within the parameter space $(\tan \beta, m_{A}) $ which satisfies all experimental and theoreticalconstraints. The CP odd and CP even Higgs bosons in all scenarios areobservable when signal exceeds $ 5\sigma $, which is the final extracted valueof signal significance. The signal significance is calculated at differentintegrated luminosities. It is concluded from current analysis that fullyhadronic channel is promising for search and measurement of the neutral HiggsBosons in 2HDM.

Observability of 2HDM Neutral Higgs Bosons in fully hadronic decay at future linear collider