An ocular implant adapted to reside at least partially in a portion of Schlemm's canal of an eye. In some embodiments the implant has a body extending in a curved volume whose longitudinal axis forms an arc of a circle, and a plurality of open areas and strut areas formed in the body, the open areas extending over more than 50% of a surface defining the curved volume, the strut areas surrounding the open areas, the body having a diameter of between 0.005 inches and 0.04 inches. The invention also provides a method of treating glaucoma including the steps of supporting tissue forming Schlemm's canal in an eye with an implant extending at least partially in the canal along an axial length within the canal; and contacting with the implant less than 50% of the tissue forming the canal along the axial length.