A method for producing a cutting tool is described. This method includes the production of a tool body of the cutting tool by means of a generative production method. At least one coolant cavity that has, at least in segments, an essentially triangular cross section is in this case provided in the tool body. Moreover, a cutting tool produced by means of this method is presented. Also proposed is a cutting tool having at least one coolant cavity running therein, wherein the coolant cavity has, at least in segments, an essentially triangular cross section and the cutting tool is produced, at least in segments, by means of a generative production method.