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The problem of dynamic content deployment for clustered streaming media system consisting of homogeneous servers is discussed in this paper. We propose a dynamic storage balancing (DSB) based content updating strategy to lower the service blocking probability, to balance the load of media servers and to reduce the update cost. A relatively short time window is adopted to predict the changing popularity of all multimedia files. Unlike other exiting policies applying the predicted result to replicating and de-replicating, we assign it properly to each replica in the cluster for the purpose of unifying every server's access probability (AP), in other words, making the system be in a condition of DSB. Then we gradually replicate the newly popular objects to enhance the ability of DSB. Meanwhile, we adopt a de-replication strategy with zero in-service request migration cost to avoid storage space being exhausted by replicas of previously popular objects. The simulation analysis shows that the proposed policy can achieve an outstanding system performance.