Gauss-Bonnet gravity provides one of the most promising frameworks to study curvature corrections to the Einstein action in supersymmetric string theories, while avoiding ghosts and keeping second order field equations. Although Schwarzschild-type solutions for Gauss-Bonnet black holes have been known for long, the Kerr-Gauss-Bonnet metric was missing. In this paper, a five dimensional Gauss-Bonnet solution is analytically derived for spinning black holes and the related thermodynamical properties are briefly outlined.