A tool for countersinking, deburring and spindling out holes is described, consisting of a blade holder driven rotationally about its longitudinal axis, in which, at an angle to its longitudinal axis, at least one recess is arranged, in which one or more cutting blades or their holders are held as exchangeably and/or displaceably load-transmitting. In order to guarantee better protection against tilting and breaking of the cutting blade out of the recess in the blade holder it is provided that the recess is formed from radii substantially blending into one another.