Taking the chaotic Yang system as the research object, a class of time-delay chaotic Yang system is proposed to make up for the shortcomings of existing chaotic systems. Through numerical calculation, the local stability of the system at the equilibrium point E0(0,0,0) and the existence of Hopf bifurcation of the time-delay system are clarified. The conditions for Hopf bifurcation of time-delay systems were deduced. When τ = τn , the time-delay systems had generated the bifurcation at the equilibrium point E0(0,0,0), and there were limit cycles. Therefore, according to the linear state feedback control method, the bifurcation point of the time-delay system is effectively controlled in advance or behind time. At the same time, through the Runge Kutta method and the MATLAB software simulation, the time-delay system at the bifurcation point τk = 1. 428 5 occurred the phenomenon of supercritical Hopf bifurcation. At the same time, the bifurcation can be generated ahead of time or behind time by changing the value of parameter k under the condition that the control parameter value satisfies the value of k.