  We give a review on possible starburst-AGN (active galactic nuclei)
connections from high redshift to the present day. First, we give a historical
review on some basic ideas related to the starburst-AGN connection published in
the literature. Second, we focus our attention to the so-called Magorrian
relation which is the close relationship between the nuclear black hole mass
and the bulge mass, established in nearby galaxies. If the Magorrian relation
is universal, we obtain an important implication that any supermassive black
holes were made through successive merging processes of starburst remnants
(i.e., neutron stars and stellar-sized black holes), providing a channel of the
starburst-AGN connection. Third, we briefly discuss a possible new scenario for
the formation of quasar nuclei at very high redshift based on an idea that the
successive mergers of starburst remnants formed in subgalactic gaseous clouds.
