MEMS actuator including: a substrate; a first and a second semiconductive layer; a frame including transverse regions formed by the second semiconductive layer, elongated parallel to a first direction and offset along a second direction, the frame being movable parallel to the second direction. The MEMS actuator includes, for each transverse region: corresponding front rotor regions, which are fixed to the transverse region and are suspended above the substrate; a first and a second stator region, which are formed by the first semiconductive layer in such a way that, when the frame is in rest position, the transverse region is laterally offset with respect to the first and the second stator regions and a first front rotor region partially faces the first stator region, and in such a way that, during a translation of the frame along the second direction, the first and/or a second front rotor region at least partially face the second stator region, when the transverse region begins to superimpose on the first stator region.