A punctum plug comprises a distal tip for anchoring the punctum plug in an implanted position in the lacrimal drainage system of the eye, a proximal cap that remains exposed in the eye in the implanted position, and a body connecting the distal tip to the cap. The distal tip includes a plurality of longitudinal depressions along its outer surface to facilitate implantation, and one or more strengthening beams to resist deformation or collapse of the punctum plug.