Abstract: In the research on dynamic coalition based collaborative task allocation in wireless sensor networks(WSNs),distributed constraint satisfaction is put forward to eliminate the resource competition among dynamic coalitions which is brought by multiple targets tracking.According to the requirements of multiple targets tracking in WSNs,a distributed constraint satisfaction model of dynamic coalition based collaborative task allocation is built to get the coordination among the dynamic coalitions.Furthermore,DSA(distributed stochastic algorithm) is proposed to find the dynamic coalitions which satisfy the constraints.The efficiency of distributed constraint satisfaction for eliminating the resource competition among dynamic coalitions is proved in the simulation.And it is also illustrated that the energy consumption of the system is reduced.