  Critical phenomena in uniaxial ferromagnetic thin films in the presence of
random magnetic fields have been studied within the framework of effective
field theory. When the type of the random field distribution is bimodal, the
system exhibits tricritical behavior. Furthermore, the critical value of
surface to bulk ratio of exchange interactions at which the transition
temperature becomes independent of film thickness is insensitive to the
presence of disorder whether the distribution is bimodal or trimodal. Regarding
the universality properties, neither $p$, nor $h$ variations in the system can
affect the value of the shift exponent $\lambda$. In this regard, it can be
concluded that pure ferromagnetic thin films are in the same universality class
with those under the influence of random discrete magnetic fields.
