A fitness model of evolution network based on complex networks with mixed attachment mechanisms is researched to solve an actual network — CCFN (cooperative communication fitness network).

The evolution of CCFN is given by four steps with different probabilities, and the rate equations of nodes degree are presented.

The degree distribution is analyzed by calculating the rate equation and numerical simulation with the examples of four fitness distributions such as power law, uniform fitness distribution, exponential fitness distribution and rayleigh fitness distribution.

The robustness of CCFN is studied by numerical simulation with four fitness distributions under random attack and intentional attack to analyze the effects of degree distribution, average path length and average degree.

The results of paper are more significant for building CCFN to programme the resource of communication.