  In this study, the charged Higgs pair production is calculated in the context
of the supersymmetry at a $\gamma\gamma$-collider. The channel is explored in
Two-parameter Non-Universal Higgs Model where the model provides relatively
light neutral and charged Higgs bosons. The computation is extended to one
loop-level, and the divergence arising in the loop-diagrams are cured with the
radiative photon correction. The production rate of the charged Higgs pair
reaches up to $\hat{\sigma}_\text{UU}^\text{LO+NLO}=121\text{ fb}$ at
$\sqrt{\hat{s}}=635\text{ GeV}$. The analysis of the cross-section is also
given varying the parameters $m_A$ and $\tan\beta$. The total convoluted
cross-section with the photon luminosity in an $e^+e^-$ machine is calculated
as a function of the center-of-mass energy up to $1\text{ TeV}$, and it gets up
to $42\text{ fb}$ at $\sqrt{s}=900 \text{ GeV}$ depending on the polarization
of the initial electron and laser photon.
