The invention relates to a rotary
cutting device comprising a rotatable
cutting tool and a rotatable anvil roller incorporating a
cutting support, wherein a cutting edge, which co-operates with the cutting support, is arranged on the
cutting tool for cutting a web of material, and wherein at least one support ring with a
support surface is mounted on the
cutting tool for supporting the
cutting tool relative to the anvil roller. In order to develop the rotary cutting device in such a way as to enable high-tensile materials also to be
cut in a reliable and precise manner, it is proposed, in accordance with the invention, that the cutting edge and the cutting support be made of a
hard metal at least in the surface regions thereof, and in that the cutting edge be set back relative to the
support surface in a radial direction, wherein the radial spacing between the cutting edge and the
support surface is formed in dependence on the modulus of elasticity of the support ring in such a manner that the cutting edge virtually touches the cutting support when a bias force is applied.