A single-use adjustable depth trephine corneal punch device that allows a goal trephination depth of a donor cornea to be set and cut prior to a surgical procedure for cutting selected portions of an actual patient cornea. The corneal punch includes a punch block having a central well for receiving a donor cornea, a punch top mounted atop the punch block and having a central cylindrical opening coaxially aligned with the well, and means for cutting a selected portion of the donor cornea in the central well, wherein the means for cutting includes a punch blade mounted atop the punch top and through the opening for combined limited rotation less than about 312 degrees and limited axial movement from a reference or “start” point and into juxtaposed relation against the cornea and a limited axial downward movement during rotation wherein to make a shallow cut in the cornea.