MANY galaxies are thought to contain massive black holes-exceeding ten
million solar masses-at their centres(1,2), but firm observational ev
idence has proved to be surprisingly elusive. The best evidence comes
from observing gas or stars rotating rapidly within a small region aro
und a central body. If the observed velocities are due solely to the g
ravitational force of the central body-as in the Solar System-then the
mass of the central body can be readily calculated. Here we present o
bservations of rotating gas near the centre of the galaxy NGC4258 (M10
6), which indicate the presence of a mass of 3.6 x 10(7) solar masses
in a region less than 0.13 pc in radius. The volume-averaged mass dens
ity in this region exceeds by a factor of at least 40 that for any oth
er black-hole candidate observed previously. These observations provid
e compelling evidence that a massive black hole exists at the centre o
f NGC4258.