Abstract: The invention relates to a cutting assembly for use in thin and ultrathin web winding stations. It also relates to a method for cutting a web using this cutting assembly. According to the invention, the web (1) is cut by a blade (30) with a cutting edge transverse to the web transfer direction; the blade moves between a rearward position and a forward position; in the forward position, the cutting edge is substantially parallel to an axis of the roll (7) receiving the web, and the blade is substantially tangent to a surface of the roll. For cutting the web, the blade is moved from its rearward position to its forward position, so that its speed at the time it engages with said web is at least substantially equal to the speed of the web. This ensures a clean and clear cut of the web. At the same time, it ensures that the leading edge of the web is smoothly and evenly placed on the roll, without any creasing nor folding of the web.