This paper describes an extension of head-needed rewriting on term rewriting systems to higher-order rewrite systems. The
main difficulty of this extension is caused by the β-reductions induced from the higher-order reductions. In order to overcome this difficulty, we define a new descendant of
higher-order rewrite systems. This paper shows the new definition of descendant, its properties and head normalization of
head-needed rewriting on orthogonal higher-order rewrite systems.