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