In this paper, we introduce the notion of hyper pseudo BC K - algebras, which is a generalization of pseudo BC K -algebras and hyper BC K -algebras and we investigates some related properties. In follow, we define some kinds of hyper pseudo BC K -ideals of a hyper pseudo BC K - algebra and we find the relations among them. Finally, we characterize the hyper pseudo BC K -ideals of type 4 generated by a nonempty subset.