Abstract: n this paper,a simple and minimun-fuel control stratagy for space rendezvous by two impulses is presented. A first impulse is designed to produce an essentially coasting trajectory which intercepts the target at time T. At that time, a braking velocity increment (second impulse) is added in order to stop the relative motion. Fuel consumption is minimized by selecting the rendezvous time T. Finally, the dynamic characteristics of rendezvons and docking are analysed through mathematics simulation.