In this paper we study the notation of (weakly) almost Jordan homomorphism between Frechet algebra s. We show that if (A; (p_n)) is a Frechet algebra and T from A in to C is a weakly almost Jordan homomorphism, then either T is homomorphism, or it is continuous. Moreover, we prove that every weakly almost Jordan homomorphism between two commutative Frechet algebras A and B is a weakly almost homomorphism.
