Abstract: After investigating the existing transitive signature schemes based on the mathematical assumptions of integer factorization problem, discrete logarithm and bilinear pairings, the common method of transitive signature schemes was extracted. Based on this, a general transitive signature scheme based on homomorphic encryption was proposed, which can achieve signature verification by using the properties of homomorphic encryption. The scheme provides a general construction for the transitive signature scheme based on the particular homomorphic signature schemes. Moreover, the security proofs were given by defining the appropriate security goals and designing security experiments. The proofs show the general transitive signature scheme is a CMA secure if and only if corresponding homomorphic encryption is CPA secure and the standard signature is CMA secure. Finally, analysis and comparison show that the proposed scheme is effective.