We describe the first measurement of an electron beam size in the accelerat
or test facility damping ring at KEK with a laser wire beam profile monitor
. This monitor is based upon the Compton scattering process of electrons wi
th a laser light target, which is produced by injecting a cw laser beam int
o a Fabry-Perot optical cavity. We have observed clear signals of the Compt
on scattered photons and confirmed that the observed energy spectrum as wel
l as the count rate agree with the expected ones. From the measurement, we
have deduced the vertical beam size sigma (b) to be 9.8 +/- 1.1 +/- 0.4 mum
, where the first (second) error represents statistical (systematic) uncert
ainty. Various improvements are in progress to enhance the signal-to-noise
ratio, which is essential for the detailed study of the beam dynamics.