  The study of low-angle and large-angle Bhabha scattering at LEP gives access
to the running of the electromagnetic coupling. Two recent measurements of the
OPAL and L3 collaborations probe the running of alpha in the regions
1.8GeV^2<-Q^2<6.1GeV^2 and 1800GeV^2 <-Q^2 <21600GeV^2, respectively. The
strategies and the results of these studies are presented. A global overview is
given of the agreement of these and previous L3 findings with the QED
predictions.
