  We report radial velocities for 99 galaxies with projected positions within
30 arcmin of the center of the cluster A3733 obtained with the MEFOS multifiber
spectrograph at the 3.6-m ESO telescope. These measurements are combined with
39 redshifts previously published by Stein (1996) to built a collection of 112
galaxy redshifts in the field of A3733, which is used to examine the kinematics
and structure of this cluster. We assign cluster membership to 74 galaxies with
heliocentric velocities in the interval 10500-13000 km/s. From this sample of
cluster members, we infer a heliocentric systemic velocity for A3733 of
11653{+74}{-76} km/s, which implies a mean cosmological redshift of 0.0380, and
a velocity dispersion of 614{+42}{-30} km/s. The application of statistical
substructure tests to a magnitude-limited subset of the latter sample reveals
evidence of non-Gaussianity in the distribution of ordered velocities in the
form of lighter tails and possible multimodality. Spatial substructure tests do
not find, however, any significant clumpiness in the plane of the sky, although
the existence of subclustering along the line-of-sight cannot be excluded.
