  Let $X$ be a compact Riemann surface of genus $g\geq 3$ and let
$\mathcal{M}_{\mathrm{par}}$ be the moduli space of semistable parabolic
bundles over $X$. Let $\mathcal{M}_{\mathrm{parH}}$ denote the moduli space of
semistable parabolic Higgs bundles over $X$. In this article, we study the
Picard group of $\mathcal{M}_{\mathrm{par}}$ and $\mathcal{M}_{\mathrm{parH}}$.
