A cartridge for an IOL delivery system that has an injector tip geometry designed to reduce stresses at the incision wound edges generated during insertion of an IOL into an eye is disclosed. The injector tip geometry includes a tubular nozzle having a modified elliptical cross section. The injector tip geometry reduces stresses generated reduce the likelihood of tearing or overstretching the wound during cartridge tip insertion and residence time in the wound while the lens is being delivered into the eye.