Satellite network has unique characteristics that differ from traditional networks, such as channel openness, node exposure and limited onboard processing capability. However, existing Ciphertext-Policy Attribute-Based Encryption (CP-ABE) access control is not suitable for the satellite network due to its policy explosion and attribute-based authorization manner. To address this problem, a multi-authority access control scheme with policy hiding of satellite network was proposed. Linear Secret Sharing Scheme (LSSS) matrix access structure was adopted to guarantee data confidentiality and hide the access control policy completely by obfuscating the access structure. In addition, multi-authority was used to achieve fine-grained attribute management, eliminating the performance bottleneck of central authority. Each attribute authority worked independently and generated partial key of the user, which makes it resistant to collusion attacks. The security and performance analysis show that the proposed scheme can satisfy the security requirements of data confidentiality, collusion attack resistance and complete policy hiding, and is more suitable for satellite network than the comparison solutions.