It is shown that the STM can be used to measure the electrical conduct
ance of surface states via tip-sample point contacts. In particular, t
he electrical conductance of the Si(111)7 x 7 surface is discussed. Th
e experimental results indicate that the conductance consists of two c
omponents. One involves transport through the Schottky barrier formed
at the interface while the ether is sensitive to surface properties. T
he surface sensitive conductance depends on the amount of adsorbed oxy
gen and the step structure surrounding the contact area, but does not
depend on bulk properties such as the type of dopant of the semiconduc
tor substrate. These findings cannot be explained by models of convent
ional surface conductance due to a space charge layer formation. The c
onductance thus should he closely related with surface slate conductan
ce of the Si(111)7 x 7 structure.