In this article, we give out that the homomorphism between vertex algebras can uniquely induce the homomorphism between 摘要进一步讨论局部顶点李代数同态与顶点代数同态之间的关系。受到文[5]中定理6.5的启发，证明了顶点代数之间的同态可惟一地诱导出由它们构造所得的局部顶点李代数之间的同态。