In the premise of not changing periodic solutions to the original system and with considering multiple coexistent attractor in the vibro-impact system，attractor migration control of a two-degree-of-freedom vibro-impact system with soft constraints is studied by using the linear feedback control method. Firstly，the two-degree-of-freedom vibro-impact system with soft constraints is established，the existing condition of the periodic impact motion is deduced. The stability，bifurcation and the cause of the multiple coexistent attractor of the system are analyzed by Floquet theory. Then，the numerical experiments verify that a reasonable linear feedback control method can effectively control the migration of different attractors in such non-smooth vibro-impact systems. Finally，the influence of different control positions and parameters on the control performance is discussed.