We discuss Hodge-Tate crystals on the absolute prismatic site of O_K, where K is a p-adic field. These are vector bundles defined over the Hodge--Tate structure sheaf. We first classify them by O_K-modules equipped with small endomorphisms. We then classify rational Hodge-Tate crystals by nearly Hodge--Tate C_p-representations. This is joint work with Yu Min and Yupeng Wang.