  We study heavy physics effects on the Higgs production in $\gamma \gamma $
fusion using the effective Lagrangian approach. We find that the effects coming
from new physics may enhance the standard model predictions for the number of
events expected in the final states $\bar bb$, $WW$, and $ZZ$ up to one order
of magnitude, whereas the corresponding number of events for the final state
$\bar tt$ may be enhanced up to two orders of magnitude.
