The spin Hall effect of light when a beam passed through an interface between air and glass is studied. The qualitative influence of polarization state, refractive-index difference, incident angle upon the transverse shift of beam centroid is revealed. The transverse shift in both the reflected beam and the refracted beam increased with increase of the polarization parameters. Left- and right-handed circularly polarized light exhibite an equivalent shifts but opposite in signs. The transverse shift of circularly polarized light is more than the elliptically polarizatied light. The transverse shift of the refracted light increases with increase of the refractive index difference, while the transverse shift of the reflected light decreases, but the transverse shift will vanishe when the refractive index difference nears zero. The transverse shift present an extremal point in the reflected beam, while exhibits a progressive increase in the refracted beam with increase of the angle of incidence. These findings will provide us a theoretical basis to modulate and enhance the spin Hall effect of light.