For producing an abrasive tape (11) including a film substrate (2) and a polishing abrasive layer (10) laminated on one surface of the film substrate (2) and having on the outer surface thereof a plurality of recessed parts (9), the film substrate (2) is wrapped partially around the outer peripheral surface of a roll formplate (1) having on the surface thereof a plurality of concavities (5), and, as the roll formplate (1) is rotated, the film substrate (2) is fed thereto. On one hand, an ionizing radiation curing type resin (3) is supplied into the interface between the roll formplate (1) and the film substrate (2) therearound to be formed by the concavities (5), and the recessed parts (9) are formed on the resin surface. During this forming, radiation rays (R) are projected from an ionizing radiation ray source (8) toward the resin (3) thereby to cure the resin (3) and, at the same time, to render the resin (3) and the film substrate (2) into an integral structure. The abrasive tape (11) obtained in this manner is separated from the roll formplate (1). The abrasive tape (11) thus obtained is of high product quality. The production method is highly efficient and is suitable for mass production of abrasive tapes of identical concave-convex surface figuration.