This paper offers a novel hybrid control approach for solving the formation problem for a group of cooperative quadrotors unmanned aerial vehicles (UAVs). Two-loop controller layout techniques are presented: one is a backstepping based PID controller as a higher-controller in external-loop to manage the proportional position orders and create body-axis rate orders for the internal loop. Second, it is an Adaptive Neuro Fuzzy Inference System (ANFIS) Controller acts as a lower-controller in the internal-loop to generate desired angular rotations for every quadrotor, separately. The introduced hybrid controller is applied to overcome the formation aviation downside that keeps track of the leader-follower approach. The contribution in this paper lays in developing a solution for the formation problem for a group of cooperative UAVs through a double layer hybrid Backstepping-ANFIS controller. A complete model of six-degree of freedom for a group of cooperative UAVs is used in the MATLAB Simulink in order to perform various simulations to validate the hybrid proposed controller. Simulation results for a team of cooperative UAVs show the success of the proposed approach in solving the formation configuration problem for the UAV team members in free and loaded obstacles environment.