Abstract: A simple control law based on the theory of backstepping is proposed to control and to track a Lorenz chaotic system to any desired trajectory. The backstepping design is a step-by-step approach and consists of a recursive procedure, interlacing the choice of a Lyapunov function with the design of a virtual control at each step, at the last step, the true control is obtained. Strong properties of global and asymptotic stability can be achieved. A major advantage of this method is that, it has the flexibility to build the control law by avoiding cancellations of useful nonlinearities.