Generalized signcryption which proposed by Han is a new cryptographic primitive which can work as an encryption scheme, a signature scheme or a signcryption scheme [5]. However,the security proof in their paper is not very formal.our contribution are as following:First we give security notions for this new primitive.Secnond,we give an attack to [4]which is the first vision of [5] and propose an improved generalized signcryption scheme. Third, we give new very formal proofs for this new scheme.