Precise peripheral ocular measurements have become important in vision research. These measurements are influenced by the shape and position of the peripherally observed entrance pupil. A long-held assumption is that its apparent shape is elliptical and is optically centered in its position. Our three-dimensional model shows that as viewing angle increases, the entrance pupil moves forward, tilts and curves towards the observer's direction. Moreover, the tangential pupil size narrows and exhibits asymmetric distortions. Consequently, its shape is non-elliptical and its geometric mid-point departs from the optical center. These findings may have implications on the accuracy of peripheral ocular measurements.