  We study a possibility to measure the anomalous magnetic moment of vector
leptoquarks in reactions with single leptoquark production associated with hard
photon emission in ep collisions. For this purpose we propose to use the
radiative amplitude zero effect. We find that an exact radiative zero in the
angular distribution of the emitted photon is present only for pure Yang-Mills
coupling of photons to leptoquarks. As a result the cross section is sensitive
to the anomalous magnetic moment kappa of the leptoquark. This effect offers a
possibility to measure kappa with rather high accuracy. For LEP+LHC we
establish upper bounds in the plane leptoquark mass--anomalous magnetic moment.
