Abstract: Two control laws for autonomous rendezvous and interception with non-cooperative target were designed using Lyapunov approach.First a control law for autonomous rendezvous was derived according to the nonlinear relative motion dynamics.Then the control law was improved in order to apply to the interception mode,which could ensure the chaser approaches the target at a certain relative velocity.Meanwhile considering the maneuver of the non-cooperative target,a new control law for autonomous proximity was derived using Lyapunov min-max approach.The simulation results validate the availability of control laws for autonomous proximity based on Lyapunov approach.