A multi-axis MEMS gyroscope includes a micromechanical detection structure having a substrate, a driving-mass arrangement, a driven-mass arrangement with a central window, and a sensing-mass arrangement which undergoes sensing movements in the presence of angular velocities about a first horizontal axis and a second horizontal axis. A sensing-electrode arrangement is fixed with respect to the substrate and is set underneath the sensing-mass arrangement. An anchorage assembly is set within the central window for constraining the driven-mass arrangement to the substrate at anchorage elements. The anchorage assembly includes a rigid structure suspended above the substrate that is elastically coupled to the driven mass by elastic connection elements at a central portion, and is coupled to the anchorage elements by elastic decoupling elements at end portions thereof.