Abstract. In this paper we study the notation of almost Jordan homomorphism between Fr´echet algebras. We show that if (A,(pn)) is a Fr´echet algebra and T : A- C is a almost Jordan homomorphism ,then either T is homomorphism ,or it is continuous.Moreover,weprovethateveryalmostJordanhomomorphismbetween two commutative Fr´echet algebras A and B is a almost homomorphism. We also investigateautomaticcontinuityofalmostJordanhomomorphismbetweenFr´echet Q-algebras.
