An apparatus for the milling and/or drilling cutting of materials, in particular for the removal of rock, minerals or coal, with a tool drum which is mounted on a drum carrier rotatably about a drum axis, in which a plurality of tool shafts, which carry cutting tools at their ends projecting from the tool drum, are rotatable drivable mounted, at least two of the tool shafts being drivable by a common gear drive which has power take-off gearwheels arranged fixedly in terms of rotation on the tool shafts, and a common drive element which cooperates with the power take-off gearwheels. The drive element and the tool drum being rotatable in relation to one another and the shaft axes of the tool shafts standing transversely to the drum axis.