We have observed a quantum Hall effect in the bulk quasi-two-dimensional co
nductor eta-Mo4O11 The Hall resistance exhibits well defined plateaux, coin
cident with pronounced minima in the diagonal resistance. We present data f
or several different samples and contact geometries, and discuss a possible
mechanism for the quantum Hall effect in this system. We also discuss the
implications of these findings in the light of recent predictions concernin
g chiral metallic surface states in bulk quantum Hall systems.