Coordinate measuring machine for determination of at least one space coordinate of a measurement point on an object to be measured, comprising • a stationary base, • a probe head being moveable relative to the base, • at least one linear drive mechanism (2X, 2Y, 2Z) for provision of movability of the probe head relative to the base in a first direction (X, Y, Z), the linear drive mechanism (2X, 2Y, 2Z) having □ a linear guide (4X, 4Y) in the first direction (X, Y, Z), □ a movable member (5X, 5Y) being supported for movement along the guide (4X, 4Y) by bearings (7 1 X, 7 2 X, 7 3 X, 7 4 X, 7 1 Y, 7 2 Y, 7 3 Y, 7 4 Y), and □ a linear measuring instrument (8X, 8Y) for determination of a first drive position of the movable member (5X, 5Y) in the first direction (X, Y, Z), and • a calculation unit for determination of the space coordinate as a function of at least the first drive position, characterised in that • the linear drive mechanism (2X, 2Y, 2Z) further comprises at least a first pre-calibrated integral sensor-package (10 1 X, 10 2 X, 10 1 Y, 10 2 Y) having at least two displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) each being built for measuring a distance from the movable member (5X, 5Y) to the guide (4X, 4Y) in a direction being non-parallel with respect to the first direction (X, Y, Z), in particular bearing distances between facing surfaces (4S 1 X, 4S 2 X, 5S 1 X, 5S 2 X) of the movable member (5X, 5Y) and the guide (4X, 4Y), wherein the first integral sensor-package (10 1 X, 10 2 X, 10 1 Y, 10 2 Y) □ comprises a common housing for rigidly joining together the displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) with a precisely known spatial and geometrical relationship of the displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) relative to each other and □ is built modular and forms one coherent component in such a way that it is mountable to and removable from the coordinate measuring machine en bloc, and wherein the sensed distances indicate □ a translational displacement of the movable member (5X, 5Y) from an ordinary bearing position in a direction perpendicular to the first direction (X, Y, Z) and □ a rotational displacement of the movable member (5X, 5Y), and • the space coordinate is determined by the calculation unit further dependant on the indicated displacements. • a stationary base, • a probe head being moveable relative to the base, • at least one linear drive mechanism (2X, 2Y, 2Z) for provision of movability of the probe head relative to the base in a first direction (X, Y, Z), the linear drive mechanism (2X, 2Y, 2Z) having □ a linear guide (4X, 4Y) in the first direction (X, Y, Z), □ a movable member (5X, 5Y) being supported for movement along the guide (4X, 4Y) by bearings (7 1 X, 7 2 X, 7 3 X, 7 4 X, 7 1 Y, 7 2 Y, 7 3 Y, 7 4 Y), and □ a linear measuring instrument (8X, 8Y) for determination of a first drive position of the movable member (5X, 5Y) in the first direction (X, Y, Z), and • a calculation unit for determination of the space coordinate as a function of at least the first drive position, • the linear drive mechanism (2X, 2Y, 2Z) further comprises at least a first pre-calibrated integral sensor-package (10 1 X, 10 2 X, 10 1 Y, 10 2 Y) having at least two displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) each being built for measuring a distance from the movable member (5X, 5Y) to the guide (4X, 4Y) in a direction being non-parallel with respect to the first direction (X, Y, Z), in particular bearing distances between facing surfaces (4S 1 X, 4S 2 X, 5S 1 X, 5S 2 X) of the movable member (5X, 5Y) and the guide (4X, 4Y), wherein the first integral sensor-package (10 1 X, 10 2 X, 10 1 Y, 10 2 Y) □ comprises a common housing for rigidly joining together the displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) with a precisely known spatial and geometrical relationship of the displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) relative to each other and □ is built modular and forms one coherent component in such a way that it is mountable to and removable from the coordinate measuring machine en bloc, and wherein the sensed distances indicate □ a translational displacement of the movable member (5X, 5Y) from an ordinary bearing position in a direction perpendicular to the first direction (X, Y, Z) and □ a rotational displacement of the movable member (5X, 5Y), and □ comprises a common housing for rigidly joining together the displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) with a precisely known spatial and geometrical relationship of the displacement sensors (9 1 X, 9 2 X, 9 3 X, 9 4 X, 9 5 X, 9 1 Y, 9 2 Y, 9 3 Y, 9 4 Y, 9 5 Y) relative to each other and □ is built modular and forms one coherent component in such a way that it is mountable to and removable from the coordinate measuring machine en bloc, and wherein the sensed distances indicate □ a translational displacement of the movable member (5X, 5Y) from an ordinary bearing position in a direction perpendicular to the first direction (X, Y, Z) and □ a rotational displacement of the movable member (5X, 5Y), and • the space coordinate is determined by the calculation unit further dependant on the indicated displacements.