Abstract: The invention relates to a tool-spindle arrangement comprising a main spindle rotatably supported in a spindle housing and an electrical drive motor drivingly connected to the main spindle. The main spindle is constructed hollow to receive operating elements of the spindle arrangement. It is suggested that the motor shaft of the electrical drive motor itself is constructed as a main spindle.The main spindle is part of the drive motor. It is preferably constructed in two parts, namely, a spindle section and a motor-shaft section which, when connecting the drive motor to the machine, are coupled with one another. The motor-shaft section is also constructed hollow to receive operating elements, for example clamping members for chucking of the tool, air-blast pipes, cooling-medium pipes, etc.