  We show that for any integer $s \geq 2$, there are only finitely many
$s$-Cullen numbers that are repunits. More precisely, for fixed $s \ge 2$,
there are only finitely many integers $n$, $b$, and $q$ with $n \geq 2$, $b
\geq 2$ and $q \geq 3$ such that \[C_{n,s} = ns^n + 1 = \frac{b^q -1}{b-1}.\]
The proof is elementary and effective, and it is used to show that there are no
$s$-Cullen repunits, other than explicitly known ones, for all $s \in
[2,8896]$.
