  By a K3-surface with nine cusps I mean a surface with nine isolated double
points A_2, but otherwise smooth, such that its minimal desingularisation is a
K3-surface. It is shown, that such a surface admits a cyclic triple cover
branched precisely over the cusps. This parallels the theorem of Nikulin, that
a K3-surface with 16 nodes is a Kummer quotient of a complex torus.
