Jens Bolte and Hans-Michael Stiepan The Selberg trace formula for Dirac operators (61K, LaTeX 2e) ABSTRACT. We examine spectra of Dirac operators on compact hyperbolic surfaces. Particular attention is devoted to symmetry considerations, leading to non-trivial multiplicities of eigenvalues. The relation to spectra of Maass-Laplace operators is also exploited. Our main result is a Selberg trace formula for Dirac operators on hyperbolic surfaces.