  We bound anomalous gauge boson couplings using LEP data for the $Z\rightarrow
{\overline f} f$ partial widths. We use an effective field theory formalism to
compute the one-loop corrections resulting from non-standard model three and
four gauge boson vertices. We find that measurements at LEP constrain the three
gauge boson couplings at a level comparable to that obtainable at LEPII.
