Angle-resolved ultraviolet photoelectron spectroscopy has been used to investigate the step-related electronic states on the vicinal surfaces of Si(00l). Such states have been found at 0.5-0.6 eV below EF at Γ point (K = 0) for vicinal surfaces with steps along 〈100〉 or 〈110〉. The dispersion of these states is smaller than that of the (001) surface states.