W-Re amorphous films have been prepared with thicknesses ranging from 30 to 1000 and with the concentration of Re between 30 and 70 at.%. The influence of thickness and related atomic disorder on the superconducting and transport properties has been studied. In particular, both the decrease of the superconducting transition temperature with increasing R- and the low-field magnetoresistance are adequately described by the relevant theories of Maekawa and Fukuyama and Larkin based on the localization effect. We have also shown that the W-Re system is dominated by a strong spin-orbit effect and that e-e interaction effects are responsible for the low-temperature logarithmic increase of the resistance for low-Tc samples. © 1984 The American Physical Society.