Method for adjusting the position of a workpiece which is rotationally symmetrical relative to an axis of symmetry and has a curved upper surface, in a measuring device having a workpiece carrier which can be driven about a rotational axis, tilted relative to the rotational axis via an adjustment arrangement and moved in two spatial directions perpendicularly to the rotational axis, wherein the measuring device comprises a sensor unit for measuring, in a machine coordinate system of the measuring device, measurement points (x ij, y ij, z ij, c i) on the curved upper surface of the workpiece, with the following steps: - S1: measurement, in a measurement plane of the machine coordinate system, of several measurement points (x 1j, y 1j, z 1j, c 1) on the upper surface of the workpiece in a first rotational position (c 1) of the workpiece about the rotational axis; - S2: rotation of the workpiece carrier with the workpiece through a rotational angle (δ) about the rotational axis into a second rotational position (c 2), - S3: measurement, in the same measurement plane of the machine coordinate system, of several measurement points (x 2j, y 2j, z 2j, c 2) on the upper surface of the workpiece in the second rotational position (c 2) of the workpiece; - S4: determination of a tilt angle (γ) and a shift (t) from an actual position (Li) of the workpiece, described by the measured measurement points (x ij, y ij, z ij, c 1), into a nominal position (Ls) of the workpiece, wherein for determining the tilt angle (γ) and the shift (t), the measurement points (x ij, y ij, z ij, c i) are firstly converted into measurement points (x i,j KW, y i,j KW, z i,j KW) in a workpiece coordinate system of the workpiece, wherein for determining the tilt angle (γ) and the shift (t), the measurement points (x i,j KW, y i,j KW, z i,j KW) in the workpiece coordinate system are fitted into a known nominal geometry of the upper surface of the workpiece such that the deviation between the measured geometry described by the measurement points (x i,j KW, y i,j KW, z i,j KW) and the nominal geometry is minimal, - S5: actuating the adjustment arrangement depending on the tilt angle (γ) and the shift (t) in order to bring the actual position (Li) into correlation with the nominal position (Ls). - S1: measurement, in a measurement plane of the machine coordinate system, of several measurement points (x 1j, y 1j, z 1j, c 1) on the upper surface of the workpiece in a first rotational position (c 1) of the workpiece about the rotational axis; - S2: rotation of the workpiece carrier with the workpiece through a rotational angle (δ) about the rotational axis into a second rotational position (c 2), - S3: measurement, in the same measurement plane of the machine coordinate system, of several measurement points (x 2j, y 2j, z 2j, c 2) on the upper surface of the workpiece in the second rotational position (c 2) of the workpiece; - S4: determination of a tilt angle (γ) and a shift (t) from an actual position (Li) of the workpiece, described by the measured measurement points (x ij, y ij, z ij, c 1), into a nominal position (Ls) of the workpiece, wherein for determining the tilt angle (γ) and the shift (t), the measurement points (x ij, y ij, z ij, c i) are firstly converted into measurement points (x i,j KW, y i,j KW, z i,j KW) in a workpiece coordinate system of the workpiece, wherein for determining the tilt angle (γ) and the shift (t), the measurement points (x i,j KW, y i,j KW, z i,j KW) in the workpiece coordinate system are fitted into a known nominal geometry of the upper surface of the workpiece such that the deviation between the measured geometry described by the measurement points (x i,j KW, y i,j KW, z i,j KW) and the nominal geometry is minimal, - S5: actuating the adjustment arrangement depending on the tilt angle (γ) and the shift (t) in order to bring the actual position (Li) into correlation with the nominal position (Ls).