Systems and methods for treating ocular disorders are disclosed. One system has a delivery instrument, with a non-linear axis, configured to be inserted into an anterior chamber of an eye and moved to a location proximate a physiologic outflow pathway of the eye. The delivery instrument carries an implant that has a distal end sized for insertion into tissue such that aqueous humor drains from the anterior chamber to the physiologic outflow pathway. One method involves inserting a non-linear portion of a delivery device into the anterior chamber to position an implant within the eye. Another method involves using a delivery device with a curved distal portion to implant an implant at a location communicating with the physiologic outflow pathway. The delivery can be through a corneal incision and the implant can comprise a drug.