The measuring machine (1) for measuring workpieces (23, 23a) features a machine table (2) and a mechanical device comprising a measuring slide movable in a first linear axis and a cross slide movable in a second linear axis, and a quill shaft (7) arranged on the cross slide and movable in a third linear axis. Arranged on the quill shaft (7) is, in addition to a sensor (9) for measuring the workpiece, also a gripper (11) by means of which a workpiece (23a) can be retrieved from a magazine (22) and transferred to the clamping device (20), or retrieved from the clamping device (20) and transferred to the magazine (22). Due to this configuration the existing mechanical device of the measuring machine (1) can be made use of to mechanically transfer and also retrieve a workpiece (23, 23a) being measured.