An method and an apparatus for high speed cutting, a predetermined repetitive pattern in a continuous moving web of material. The web is supported and displaced in a flat plane, and a sensor is utilized to detect the lateral position of the web on this plane. At least one cutting element, herein a high pressure water jet, is displaceably supported for movement on two transverse axes in a horizontal plane adjacent a face of the web and generates a cutting beam to cut a predetermined repetitive pattern through the web. The cutting element is secure to a guide member which is displaced in the horizontal plane adjacent the web, and its displacement and rate of speed are controlled by a control device.