The electrical property of a self-assembled monolayer (SAM) of mercaptohexadecanoic acid (HS-C15H30-COOH) has been investigated with a tunneling junction confined in a capillary. This capillary method can shun the interference of vacuum gap. The contact area can be determined according to the diameter of capillary. The nonlinear current-voltage curve and dl/dV curve are measured in the potential range of +/-0.8 V. The slight asymmetry of I-V curve and dl/dV curve is attributed to the different coupling between the metal and the end-groups of molecule. This method will supply a simple way to measure the property of single molecules and monolayers.