The effect of the transverse field Ω on bulk melting and layering sublimation transitions of a spin-1 Blume-Emery-Griffiths (BEG) model is studied using the mean field theory. It is found that there exists a critical value of the transverse field Ω l above which a sequence of layering sublimation occurs before melting bulk transition.Ω l depends on the value of temperature T and chemical potential Δ. Indeed, Ω l decreases with increasing temperature and/or decreasing chemical potential. Phase diagrams in the (Ω-T) and (Ω-Δ) planes are established. However, the increase of the transverse field favours the layering sublimation and bulk melting transitions. Moreover, the (Ω-T) phase diagrams show that the sequence of the critical end points go to the roughness transverse field Ω R and the roughness temperature T R which depend on the value of the chemical potential. Hence, Ω R increases and T R decreases when Δ increases. The profiles of densities and magnetizations as a function of the chemical potential, transverse field and the depth of the film are calculated.