The paper proposes a certificate-based aggregate signature(CBAS) without bilinear maps, which incorporates the certificate-based encryption into aggregate signature system. Firstly, the formal definition and adversary model of CBAS was given. Secondly, we construct a concrete CBAS scheme without pairings. Thirdly, A security analysis is given under the random oracle model. Finally, we analyse the performance of our scheme. Our scheme is without bilinear pairings, the fixing length of signature, which has nothing to do with the number of participants.%结合基于证书公钥密码系统和聚合签名，构造了一类无需双线性对的基于证书聚合签名(CBAS)。文章首先给出了CBAS的形式化定义和敌手模型；其次，构造了一个不使用双线性对运算的CBAS方案；再次，基于随机预言机模型，研究了新方案的安全性；最后，简要分析了方案的效率。新方案无需任何双线性对，且聚合签名长度固定、与参与聚合签名人数的多少无关。
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