Devices and methods for storing and injecting a corneal tissue graft are disclosed herein. In one embodiment, an apparatus includes a tissue container and an adaptor configured to be coupled to the tissue container. The tissue container defines an interior region configured to receive a precut corneal tissue graft therein. The tissue container is also configured to be coupled to an injector assembly that can be used to move the corneal tissue graft out of the interior region of the tissue container and into an anterior chamber of a recipient's eye. The adaptor can be configured to prevent the tissue graft from migrating out of the tissue container and/or can be configured to be coupled to the injector assembly. The tissue graft can remain within the tissue container during storage, transport and during the implantation procedure until it is injected into the patient's eye.