Abstract: Let G be a finite group and p a prime divisor of |G|.A subgroup H of G is called Mp-embedded in G if there exists a p-nilpotent subgroup B of G such that Hp∈Sylp(B) and B is Mp-supplemented in G.We study the structure of F Φ-hypercentre of finite groups with Mp-embedded primary subgroups and obtained some characterization about F Φ-hypercentral subgroups.