Disclosed is an apparatus for cutting a web member along an intersecting direction. The web member has a plurality of fibers including tows along a predetermined direction intersecting the intersecting direction. The apparatus includes a disc-like rotatable blade member for cutting the web member by relatively moving in the intersecting direction with respect to the web member while rotating about a rotation shaft, the rotation shaft extending along the predetermined direction, the rotatable blade member including a cutting edge on an outer circumferential edge portion thereof, a plurality of recess portions being formed on the cutting edge, the plurality of recess portions being arranged along a circumferential direction of the rotatable blade member, a mean value of lengths of the plurality of recess portions in the circumferential direction being smaller than a mean value of diameters of the tows contained in the web member.