Holdfast Point (-66.8°N -102°W) is both the northeast side of the entrance to Lallemand Fjord and the northwest side of the entrance to Chepra Cove on Pernik Peninsula in Graham Land, Antarctica, situated about 12nmi southwest of Cape Rey. It was mapped from air photos taken by the Falkland Islands and Dependencies Aerial Survey Expedition (1956–57), and was so named because when the pack ice breaks out to the north of Lallemand Fjord, it usually continues to hold fast for some time longer south of this point.