Edge computing structures are more complex than traditional cloud computing, so data integrity issues become even more important. In order to solve the problems of poor privacy protection ability, high computing and storage overhead, high system complexity, and lack of support for dynamic operation in the current integrity audit schemes, this paper proposes an integrity audit scheme based on dynamic chameleon authentication tree. In the data encryption stage, the scheme introduces a certificateless public key cryptography system to generate a data encryption and decoding key at the user end to ensure the integrity and confidentiality of the data in the process of system transmission; in the data upload stage, the dynamic chameleon authentication tree storage structure is adopted to ensure the full dynamic operation of the data access process and reduce the communication computing overhead; and the computing power of the edge node is used to carry out integrity audit, which avoids the problem of single point failure caused by the third-party audit agency. Under the stochastic oracle model, the confidentiality of the scheme is proved based on the computational DH difficulty problem and the discrete logarithmic difficulty problem. The experiments show that compared with other integrity audit schemes, the proposed scheme has better computing efficiency and can save about 50% of computing and storage overhead.