This paper studies the problem of control ling the chaotic behavior of a modified coupled dynamos system. Two different methods, namely the feedback and non-feedback methods are used to control chaos in the modified coupled dynamos system. Based on the Lyapunov direct method and Routh-Hurwitz criteria, the conditions of suppressing chaos to unstable equilibrium points or unstable periodic orbits (limit cycles) are discussed, and they are proved theoretically. Numerical simulations show the effectiveness of the two different methods.