  The possibility of observing CP-violation in the process $\gamma \gamma \to
H$ is investigated for masses of the Higgs particle in the interval $M_z \lsim
m_H \lsim 2 m_t$, using a 0.5TeV tunable linear $e^{+} e^{-}$ collider through
laser backscattering. The use of polarized beams allows the formation of two
different asymmetries sensitive to CP-violating New Physics (NP) interactions
among the gauge and Higgs bosons. It is shown that very low values of the
corresponding NP couplings can be probed, for a large range of the Higgs mass.
