The aim of this paper is to investigate the relations between Seifert manifolds and (1, 1)-knots. In particular, we prove that each orientable Seifert manifold with invariants
$\{ Oo,0| - 1;\underbrace {(p,q),...,(p,q)}_{n times},(l,l - 1)\} $
has the fundamental group cyclically presented by
G n ((
x 1 q ...
x n q l x n ?p ) and, moreover, it is the
n-fold strongly-cyclic covering of the lens space
L(|
nlq ?
p|,
q) which is branched over the (1, 1)-knot
K(
q,
q(
nl ? 2),
p ? 2
q,
p ?
q) if
p ≥ 2
q and over the (1, 1)-knot
K(
p?
q, 2
q ?
p,
q(
nl ? 2),
p ?
q) if
p< 2
q.