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Wireless Sensor Networks(WSN) is a hot spot of the research of wireless networks currently, the key of achieving efficient transmission business is to control node energy and improve the network lifetime in wireless sensor networks. The paper first uses Boolean sensing model based on Poisson point process to identify the function of the rate of coverage and the node density in unit area, and then calculates the total number of nodes in the region, next uses the greedy strategy of the Prim algorithm to find a spanning tree with the maximum weight, and constructs a approximate solution for the minimum connected dominating set. In order to control the commotions of the nodes, make the nodes in spanning tree to work, and other nodes are in sleep state. At last, further analyses the relationship between the number of nodes in connected dominating and the coverage radius.