The device for stimulating the Meibomian glands comprises a cap (2) and a plurality of light- emitting diodes (3) distributed on the inner surface of said cap (2). The light-emitting diodes (3) are electrically connected to an external control and/or power supply unit (4), provided with a control interface (6). The cap (2) comprises at least one array (30) of light-emitting diodes (3) arranged in areas of the inner surface of the cap (2) designed to face, in use, the eyelids and periocular areas of the user.