The limited energy of the node and the restricted communication bandwidths are two important features of ad hoc networks. The energy of the node is not only a key factor effecting network capacities, but is also a determinant factor in restricting network lifetime. The limited communication bandwidth makes the network more prone to congestion. Hense, it is particular important to design a joint optimal congestion control and power control algorithm by providing energy saving in ad hoc networks. First, the study proposes a network utility maximization problem that provides energy saving, by introducing the cost function of energy consumption to the objective function of the network utility maximization problem, so the performance of the network can be optimized both in the network lifetime and network utility. Secondly, by the dual decomposition method and gradient projection method, the case proposes a joint power control and congestion control algorithm that provides energy saving to solve this problem. In addition, the project analyzes and verifies the convergence of the proposed algorithm. Finally, simulation results in detail are given to demonstrate the efficiency of the proposed algorithm. The network adapt the proposed algorithm can significantly reduce the energy consumption and prolong the network lifetime, while the remaining network throughput basically unchanged.