We study when weak amenability of Banach algebras are stable under the ultrapower constructions. We extend some general results of weak amenability of Banach algebras to their ultrapowers. A Banach algebra A is ultra-weakly amenable, if every ultrapower of it is weakly amenable. We further investigate the relationship between ultra-weak amenability, (weak)amenability, and ultra-amenability. We provide an example of an ultra-weakly amenable Banach algebra that is not amenable and vice versa.
