  The effect of a random transverse field (RTF) on the wetting and layering
transitions of a spin-1/2 Ising model, in the presence of bulk and surface
fields, is studied within an effective field theory by using the differential
operator technique. Indeed, the dependencies of the wetting temperature and
wetting transverse field on the probability of the presence of a transverse
field are established. For specific values of the surface field we show the
existence of a critical probability $p_{c}$ above which wetting and layering
transitions disappear.
