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In this paper, a differentiated services based congestion control algorithm for Wireless Multimedia Sensor Networks (WMSNs) is proposed. Keeping in mind the characteristics of Wireless Sensor Networks (WSNs) and their possible extensions, the proposed algorithm categorizes WMSNs traffic into six different classes. The algorithm takes a novel and different approach towards congestion control in WMSNs. Upon detection of congestion, the congested node makes an estimate of the data rate that should be used by the node itself and its one hop away upstream neighbours. While estimating the data rate, the congested node considers the characteristic of the different traffic classes along with their total bandwidth usage. An example illustrates the operation of the proposed algorithm and theoretical results show that the proposed algorithm performs better than an existing congestion control algorithm for WMSNs.