This work presents an approach to coordinate swarms of Unmanned Aerial Vehicles (UAV) based on Internet communication provided by mobile phone networks. Several activities can be done by several UAVs flying in formation, such as surveillance and monitoring of mass events, search and rescue tasks, control of agricultural pests, monitoring and forest conservation, inspection of pipelines and electricity distribution networks or even military attack and recognition missions. Coordination of UAVs swarm can be branch in two sub-problems: communication between members of the swarm and the algorithm that controls members behaviors regarding their movements. The proposed solution assumes the use of a smartphone coupled with each UAV of the swarm, in order to provide the required level of reliable communication on the mobile Internet and run the proposed algorithm for the coordination of swarms of UAVs. Experiments were performed with emulated UAVs and WAN mobile networks. The results have demonstrated the effectiveness of the proposed algorithm, and have shown the influence of the network latency and the UAV speeds on the accuracy of the movement coordination in the swarms.