Apparatus for measuring spatial movements of a cylindrically shaped plant structure comprising: - at least one ground station configured to communicate with at least one corresponding signal-sending satellite station, said ground station having an initial azimuthal orientation (A 0) and an initial azimuthal height (h 0); - a support constrainable in a fixed manner to said plant structure, said ground station being connected in a movable manner to said support; - means for adjusting the orientation and height of said ground station, configured to move said ground station with respect to said support so as to compensate for an instantaneous orientation and height (h) that are different from said initial orientation (A 0) and height (h 0) said ground station being integrally constrained on the upper part to a support surface (15b,15c), said support comprising a first platform to which said support surface (15b,15c) is connected, said means for adjusting the orientation and height of said ground station being configured to modify the mutual positioning between said support surface (15b,15c) and said first platform, said adjustment means comprising at least a first actuator connected to a plurality of worm screws constrained in a rotatable manner to said first platform and integral with said support surface (15b,15c), and at least a second actuator capable of rotating said support surface (15b,15c), said support comprising a plurality of elements for coupling to said plant structure and a plurality of bars joined on the upper part of said first platform being mounted on said coupling elements, said means for coupling to said plant structure being two pairs of semicircular bands joined together by means of adjustable connection means. - at least one ground station configured to communicate with at least one corresponding signal-sending satellite station, said ground station having an initial azimuthal orientation (A 0) and an initial azimuthal height (h 0); - a support constrainable in a fixed manner to said plant structure, said ground station being connected in a movable manner to said support; - means for adjusting the orientation and height of said ground station, configured to move said ground station with respect to said support so as to compensate for an instantaneous orientation and height (h) that are different from said initial orientation (A 0) and height (h 0) said ground station being integrally constrained on the upper part to a support surface (15b,15c), said support comprising a first platform to which said support surface (15b,15c) is connected, said means for adjusting the orientation and height of said ground station being configured to modify the mutual positioning between said support surface (15b,15c) and said first platform, said adjustment means comprising at least a first actuator connected to a plurality of worm screws constrained in a rotatable manner to said first platform and integral with said support surface (15b,15c), and at least a second actuator capable of rotating said support surface (15b,15c), said support comprising a plurality of elements for coupling to said plant structure and a plurality of bars joined on the upper part of said first platform being mounted on said coupling elements, said means for coupling to said plant structure being two pairs of semicircular bands joined together by means of adjustable connection means.