  Let $H$ be a finite-dimensional Hilbert space, $\dim H \ge 2$. We prove that
every continuous coexistency preserving map on the effect algebra $E(H)$ is
either a standard automorphism of $E(H)$, or a standard automorphism of $E(H)$
composed with the orthocomplementation. We present examples showing the
optimality of the result.
