An amorphous Ising film is investigated by the use of an effective field theory. The phase diagrams in (T, δ) plane, are studied for some values of n (number of layers). We found that the transition temperature of the film decreases when the disorder parameter δ increases. The re-entrant phenomena are observed for δ>1 and n=<6. Magnetization curves of the system are studied in some regions of δ where these phenomena are manifested. The first-order transitions have been observed for n=<4 and δ>1.