  We provide complete one-loop predictions for the direct production of the
neutralino pairs via photon-photon collisions which appears for the first time
at one-loop level in the minimal supersymmetric standard model at the
International Linear Collider. We present a comprehensive investigation of the
dependence of total cross section on the center-of-mass energy and the
tan$\beta$ for three different scenarios based on gaugino/Higgsino fractions of
the neutralinos. Furthermore, by investigating the behavior with the most
relevant parameters $\mu$ and $M_2$, we exhibit regions of the parameter space
where the enhancement of the cross section is large enough to be detectable at
linear colliders. Our analysis shows that the corresponding production cross
section reaches its highest values when the lightest neutralino
$\widetilde{\chi}_{1}^0$ has a dominant Higgsino component and/or the
next-to-lightest neutralino $\widetilde{\chi}_{2}^0$ has a dominant gaugino
component.
