Provided are a computer program product, system, and method for serializing access to data objects in a logical entity group in a network storage. Data objects associated with a logical entity at a client storage are generated. A determination is made of a prefix for a container in the network storage associated with the logical entity. The prefix is included in names of the data objects in the logical entity. The prefix is added to a lock queue shared by the client systems having access to the data objects in the container at the network storage. The data objects having the names including the prefix are transmitted to the network storage to store in the container in the network storage.