In previous studies, we proposed and developed a CloudDMSS (Cloud-based distributed multimedia streaming service) system. To provide reliable streaming service in the CloudDMSS, a distribution streaming system was established using streaming task distribution algorithms, RR (Round Robin), and LC (Least Connection). However, as the RR and LC methods did not consider the utilization or streaming transmission rate of the streaming servers, it negatively affected the load on the servers. Therefore, to improve the capability of our CloudDMSS, this study proposes a streaming task distribution method using an SRC(Streaming Resource-based Connection) algorithm that considers the utilization of the streaming server.