Abstract: How to use node energy effectively and prolong the network lifetime is the core issue in the research of wireless sensor network.In this paper,we propose a distributed optimization algorithm that minimizes the energy consumption of lossless data gathering wireless sensor networks by allocating variable transmit power and data compression/transmission rate to each sensor node.Using the Lagrange duality,we decompose the convex energy consumption minimization problem into subproblems,which can be solved by the sensor nodes distributively.A distributed algorithm based on the simulation results can be concluded that compared with the centralized algorithm to minimize energy consumption of the objective function so as to achieve faster convergence.