We have developed a self-consistent spin-Polarized Green's function te
chnique within the local spin-density formalism which is suitable for
an efficient and reliable description of the electronic and magnetic p
roperties of random transition metal surfaces. The all-electron linear
muffin-tin orbital method in the tight-binding representation is used
to describe the electronic states, while the semi-infinite nature of
the system is incorporated within the surface Green's function approac
h. The potentials are treated within the atomic sphere approximation i
ncluding both the monopole and the dipole components of the charge den
sity. The effect of disorder is treated within the coherent potential
approximation. Applications to random FeCo overlayers on a non-random
fcc Cu(001) substrate are shown.