A device for non-invasive monitoring of an eye position and ocular movements of a patient having: a housing body (2) having at least one through opening (2a) a plurality of light sources (3) housed in said housing body (2) a plurality of sensor means (4) housed in said housing body (2) deflector means (6) for invisible radiation (RL) supplied, in use, by said plurality of light sources (3) and reflected by said eye (O) under examination support means (8) that can be adjusted for said housing body (2) at least one program data processing and control unit (9). The support means (8) can be adjusted in such a way that the through opening (2a) of the housing body (2) can be placed at the eye (O) under examination so that the invisible radiation hits the eye (O) frontally. The program data processing and control unit (9) is designed to calculate instant-by-instant the position and orientation of a suitable three-dimensional reference system integral with the eye with respect to a predetermined three-dimensional reference system.