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In this work, the neutral Higgs boson pair production is analyzed at CompactLinear Collider (CLIC) to be operating at center of mass energies$\sqrt{s}$=1400 GeV (stage 2) and $\sqrt{s}$=3000 GeV (stage 3). The Higgsbosons to be searched for are neutral CP-even (H) and CP-odd (A) within theframework of two Higgs doublet model (2HDM) in the mass range 300 < mH/A < 1000GeV. All types of the CP-conserving model are studied and the signalobservability is evaluated taking into account the main SM background processeslike ZZ, tt and the SM-like Higgs boson associated production (hZ). Results arepresented for a set of model parameters and Higgs boson masses in terms ofsignal distributions over the background as well as the integrated luminosityneeded for 5{\sigma} discovery. It is shown that the heavy mass region is wellobservable at CLIC in types 3 (flipped) and 4 (lepton-specific) in the regionsnot excluded by LHC so far, while in type 1 the signal observation ischallenging due to the large jet multiplicity in the tt final state.

Heavy neutral 2HDM Higgs Boson Pair Production at CLIC Energies