Abstract: An ocular pressure-reducing device is used to compress the eyelids over the eyeball to help eliminate lymph and/or fluids in the eyelid and orbit, which have been injected or may have accumulated naturally, and which reduces intraocular pressure without primary pressure on the cornea. The device is a hollow bulb which is attached to an elastic band or other mechanism for accommodating placement around a patient's head. An indentation in the base of the bulb has a radius and a curvature such that the indentation fits over the cornea thereby preventing excessive pressure on the cornea. The bulb has a given wall strength which allows it to invaginate between 10 mmHg and 60 mmHg over a narrow range of pressure, thereby further preventing an excessive pressure application on the eye. The invaginated bulb presses against the lids and orbital structures to facilitate removal of fluids in these structures.