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In this study, computational analysis of neutral Higgs bosons $h$, $H$ and$A$ is carried out within the parameter space of Two Higgs Doublet Model (2HDM)type-I in exact alignment limit of $\sin{(\beta - \alpha)} = 1$ at compactlinear collider. Assuming Compact Linear Collider (CLIC) scenario where theelectron-positron beams will be collided at $\sqrt{s}$ = 1.5 TeV. Two differentvalues of predicted integrated luminosities are used in our calculations, 1000$fb^{-1}$ and 2500 $fb^{-1}$. Three signal processes $e^+ e^- \rightarrow Zhh\rightarrow jjb\bar{b}b\bar{b}$, $e^+ e^- \rightarrow ZHH \rightarrowjjb\bar{b}b\bar{b}$ and $e^+ e^- \rightarrow Zhh \rightarrowjjb\bar{b}b\bar{b}$ are selected for analysis. The polarized colliding beamsare used to enhance the signal production cross-section. Low $\tan{\beta}$ andequal Higgs masses regime is chosen in favor of Hadronic decay of $Z$ boson and$H \rightarrow b\bar{b}$. Different signal scenarios are selected and eventgeneration is performed for each process separately. The $W$ and $Z$ boson, aswell as top quark backgrounds are analyzed. Signal significance is computed ateach Higgs mass hypothesis for three signal processes. After a comprehensivestudy, we did not find sizeable amount of signal events on top of thebackground but still, signal significance is found to be larger than 1, withouttaking into account the detector effects and systematics. The maximumcalculated value of signal significance is observed to lie in the range of 150$\leq$ $m_H$ $\leq$ 250 GeV for $Zhh$ while for $ZHH$ the range is 175 $\leq$$m_H$ $\leq$ 200 GeV at 1000 $fb^{-1}$ and 175 $\leq$ $m_H$ $\leq$ 225 GeVregion at 2500 $fb^{-1}$. Similarly, for $ZAA$ process, the significance ishighest at $m_A$ = 175 GeV for both 1000 and 2500 $fb^{-1}$.

Analysis of trilinear Higgs self coupling in Two Higgs Doublet model at lepton collider