A grinding machine for grinding of workpieces with an internal profile, having a grinding arm in which at least one grinding wheel is supported for grinding of the profile of the workpiece and a reception which is arranged at the grinding machine for holding the grinding arm. To facilitate the change of the grinding arm and thereby nevertheless to ensure a precise position of the same relatively to the reception the invention proposes that the grinding arm comprises at least two clamping pins being spaced apart from another and that the reception comprises two corresponding recesses for the reception of the clamping pins, wherein in the reception locking means are arranged by which the clamping pins can be locked in the recesses so that the grinding arm is detachably fixed in a defined position relatively to the reception.
