Abstract: A vessel is provided for cryopreservation by vitrification for use in the cryopreservation by vitrification of cells or embryos. The cells or embryos are retained by a retaining part of the vessel and has recesses on the retaining part to store the cells or embryos therein. The vessel for cryopreservation by vitrification in a liquid cryogen has holes in the walls which make up the recesses which do not allow the cells or embryos to pass through the walls, but which do allow vitrification solution to pass therethrough. A kit is also provided which includes the vessel and a tube for storing the vessel. A method for cryopreservation by vitrification in a liquid cryogen is also provided.