The relativistic electronic structures of the Ag2 and Au2 molecules have been calculated using the recently developed self-consistent-field Xα Dirac-scattered-wave programs. Calculations have been carried out for transition energies and ionization potentials for selected molecular orbitals. The results indicate a large degree of s-d hybridization in the ground state of the Au2 molecule. The calculations are in good agreement with other theoretical work and with existing experimental results.