This is a jar.
It is from grave D226 at Abydos. This ivory jar is now very damaged. It was originally a cylindrical shape. The holes in the rim were the pivot hole and perhaps the locking hole for a flat lid. The excavation report describes it as a cup, but whether it was put into the tomb as an empty drinking vessel, a container holding drink for the dead owner, or a container for a cosmetic oil or cream, is not known. This is a jar. It is made from ivory. It is at least 3,300 years old, dating to the 18th Dynasty in the New Kingdom (about 1550-1295 BCE).