We investigate the attractor solution in the coupled Yang-Mills field dark energy models with the general interaction term , and obtain the constraint equations for the interaction if the attractor solution exists .
The research also shows that , if the attractor solution exists , the equation-of-state of the dark energy must evolve from w _ { y } > 0 to w _ { y } \leq - 1 , which is slightly suggested by the observation .
At the same time , the total equation-of-state in the attractor solution is w _ { tot } = -1 , the universe is a de Sitter expansion , and the cosmic big rip is naturally avoided .
These features are all independent of the interacting forms .