  Let $\mathcal F$ be a holomorphic foliation with ample canonical bundle on a
smooth projective surface $X$. We obtain an upper bound on the order of its
automorphism group which depends only on $K_{\mathcal F}^2$ and $K_{\mathcal
F}K_{X}$, provided this group is finite. Here, $K_{\mathcal F}$ and $K_{X}$ are
the canonical bundles of $\mathcal F$ and $X$, respectively.
