A method for producing a cutting tool, in particular a drill bit, is specified wherein the cutting tool has a front end (F) at the front and a rear end (R) toward the rear, wherein a tool tip is formed on the front end (F), a point thinning is ground at the tool tip with a grinding tool, the point thinning being ground to be narrower toward the front than toward the rear. The point thinning is ground with a constant point thinning angle (AW). Furthermore, a corresponding cutting tool is specified.