In order to investigate the nuclear activity of galaxies residing in compac
t groups of galaxies, we present results of our optical spectroscopic progr
am made at Okayama Astrophysical Observatory. We have performed optical spe
ctroscopy of 69 galaxies belonging to 31 Hickson compact groups (HCGs) of g
alaxies. Among them, three galaxies have discordant redshifts and, moreover
, spectral quality is too poor to classify another three galaxies. Therefor
e, we describe our results for the remaining 63 galaxies. Our main results
are summarized as follows: (1) We have found in our sample 28 active galact
ic nuclei (AGNs), 16 H II nuclei, and 19 normal galaxies showing no emissio
n line. We used this HCG sample for statistical analyses. (2) Comparing the
frequency distributions of activity types between the HCGs and the held ga
laxies whose data are taken from Ho, Filippenko, & Sargent (382 field galax
ies), we find that the frequency of H II. nuclei in the HCGs is significant
ly less than that in the field. However, this difference may be due to sele
ction bias to the effect that our HCG sample contains more early-type galax
ies than the field? because it is known that H II nuclei are rarer in early
-type galaxies than in later ones. (3) Applying a correction to this morpho
logical bias to the HCG sample, we find that there is no statistically sign
ificant difference in the frequency of occurrence of emission-line galaxies
between the HCGs and the held This implies that the dense galaxy environme
nt in the HCGs does not affect the triggering of either the AGN activity an
d the nuclear starburst. We discuss some implications on the nuclear activi
ty in the HCG galaxies.