A method and a cutting device for the continuous cutting of fibers fed in fiber cables into fiber sections of particularly short length is disclosed. In order to avoid high friction forces between the formed knives and the fiber sections, and furthermore, to prevent excessive deforming of the fiber section during the transport between the knives, the knives are arranged at an offset to each other such that the fibers are initially cut into longer fiber sections, and into shorter fiber sections in a second step. The respective free space between the knives is increased due to the offset arrangement of the knives.