A workpiece change for use in a machine tool that comprises a tool spindle for clamping tools for machining workpieces, comprises two wheels arranged parallel to one another and rotatable about an axis of rotation into at least two prominent angular positions. Two swivel tables for clamping workpieces are arranged between the wheels and are each mounted on the wheels to swivel about a swivel axis which runs parallel to the axis of rotation. In each prominent angular position, one of the swivel tables is located in its working position in which clamped workpieces can be machined with the tools. Both wheels are supported at their rim.