The linear state variables feedback controllers were designed to control the equilibrium points and period trajectories of the Lorenz system. First, we applied the RouthHurwitz criterion to analyze the stability of the controlled system, and the choice principle of the feedback coefficients to attain control objective was proved strictly. Then, the numerical simulation were performed, whose results indicated that the method can effectively guide the system trajectories to equilibrium ，especially ，the method can also direct the controlled system to 1 periodic trajectories. And the curve of the controlling parameter with the amplitude of the controlled system was obtained. Finally, the range of the controlling parameter directing the controlled system to 1 periodic trajectory was given.