Intraocular pressure can be reduced by insertion of an intraocular shunt in the eye such that it forms a drainage pathway between the anterior chamber and a region of lower pressure. A hollow shaft that holds an intraocular shunt can be advanced through the anterior chamber. The sclera can be penetrated with the hollow shaft. A beveled tip of the shaft can be oriented such that a beveled surface thereof faces toward the Tenon's capsule when the beveled tip passes out of the sclera. After the beveled tip passes out of the sclera, at least a portion of the shunt can be advanced from the hollow shaft.