The energy is a critical resource in Wireless Sensor Networks that impacts on networks lifetime. In this paper, we propose a distributed self-stabilizing algorithm of topology control to preserve energy in case of communications by broadcast. The topology control is achieved by the reduction of the transmission power of the nodes in the network. The self-stabilizing property is a very desirable property in Wireless Sensor Networks that guarantees to reach a correct behavior in a finite number of steps, regardless of its initial state. Our solution is validated by extensive simulations. The obtained results show the efficiency of our solution in case of communication by broadcast.