Bifurcation control is one of the important problems in nonlinear dynamics research. Though the control and anti-control for Hopf bifurcation have been investigated in a lot of studies, the control on its second bifurcation, especially on the bifurcation sequence formed by further bifurcate, has been seldom analyzed. For a 2 dof nonlinear autonomous system, the complicated bifurcation sequence of its limit cycles is suppressed by coupling it with a resonantly excited Duffing system. The work gives a simple example for the future study on the bifurcation sequence control.