This paper continues the investigation of the first author begun in part one. The hereditary properties of n -homomorphism amenability for Banach algebras are investigated and the relations between n -homomorphism amenability of a Banach algebra and its ideals are found. Analogous to the CHARACTER amenability, it is shown that the tensor product of two unital Banach algebras is n -homomorphism amenable if and only if each one is n -homomorphism amenable.