  The Combined EIS-NVSS Survey Of Radio Sources (CENSORS) is a 1.4 GHz radio
survey selected from the NRAO VLA Sky Survey (NVSS) and complete to a
flux-density of 7.2mJy. It targets the ESO Imaging Survey (EIS) Patch D, which
is a 3 by 2 square degree field centred on 09 51 36.0 -21 00 00 (J2000). This
paper presents K-band imaging of 142 of the 150 CENSORS sources. The primary
motivation for beginning infrared imaging of the sample was to identify the
host galaxies of the ~30% of sources for which the EIS I-band imaging failed to
produce a likely candidate. In addition, K-band magnitudes allow photometric
redshift estimation and I - K colours aid the identification of host galaxies
(which are typically old, red ellipticals). Of the sources observed in the I
and K-bands, four remain undetected, possibly indicating high redshifts for the
host galaxies, and eight involve complicated radio structures, or several
candidate host galaxies, which have yet to be resolved. Thus, the host galaxy
identifications are brought to 92% completeness.
  In conjunction with spectroscopic observations, the K-band magnitudes have
been aperture corrected and used to establish a K-z relation for the CENSORS
radio galaxies. This relation is of interest because of its variation, at z >
1, between radio surveys of different flux-density limit. Establishing this
relation for CENSORS may shed light on the origin of this variation and will
allow an appropriate K-z redshift estimator for any CENSORS source which
remains without a spectroscopic redshift. It is shown that whilst the K-z
relation for CENSORS is fainter than that of 3CRR at all redshifts, it agrees
well with that of 7C over all redshifts studied.
