Abstract: The invention relates to a rotary or fixed cutting tool for machining elements made of a hard and/or abrasive material, said tool comprising at least one active portion having hardness and/or abrasion properties higher than that of the material to be machined, and a passive portion interacting with a tool holder including a clamp, characterised in that the active portion and the passive portion of said tool are formed by an intergral plate defining both portions and obtained directly from a blank having a predetermined constant thickness and a hardness corresponding to that of the active portion so as to obtain a planar tool, and in that the passive portion is elongate and has a constant substantially quadrangular cross-section for interaction with a housing with a corresponding cross-section in the clamp, wherein the integral planar tool thus formed is directly mounted in the housing secured by tightening the same in the clamp.