Cloud computing is being used to exchange enormous volumes of data due to its fast growth. While cloud computing has made use of cryptographic techniques to ensure data confidentiality, the mechanisms in place today are unable to enforce privacy concerns over cypher text that is associated with multiple owners. This means that co-owners are unable to effectively control whether or not data disseminators can actually distribute their data. This paper presents a conditional dissemination scheme with multi-owner in cloud computing that allows data owners to securely share private data with a group of users over the cloud. If the attributes in the data satisfy the access policies in the cypher text, the data disseminator can then share the data with a new group of users. Our next innovation is a multiparty access control system that allows the co-owners of the data to add new access rules to the cypher text based on their own privacy choices. Additionally, three solutions for policy aggregation—full permit, owner priority, and majority permit—are offered to address the issue of privacy conflicts resulting from disparate access regulations. Our approach is effective and feasible for safe data sharing with many owners in cloud computing, as shown by the security analysis and experimental outcomes.