A device for the measurement of corneal thickness and intraocular pressure has a console (12) that includes a control board (81), a touch screen display (13), a data processing board with a microprocessor (82) and, connected to the console (12) by means of a cable (27), a hand-piece (20) having a body (33), a removable tip (22) including an elastic interface means (23) in contact with an ultrasound transducer (21) carried by the hand-piece body (33). The device further comprise a calibrator (16), that includes a pressure sensor (15) and a relevant analog to digital converter (14) and provides a calibration curve (60) in which applied pressures are related to axial compressions of the elastic interface means (23), the ultrasound transducer (21) alone providing both the measurement of corneal thickness and the measurement of intraocular pressure. Further, a relevant method is described.