An anti-rendezvous evasion maneuver method was proposed in order to escape from the spacecraft that has autonomous approaching ability. A bearing-only relative navigation model was built and the definition of absolutely non-observable maneuver was proposed. After some algebra, it was proved that the absolutely non-observable maneuver is non-existent. Based on that, an object function using vector multiplication was designed to find the minimum of measurement difference during the evasion. An optimization model was established and the variable bound was given so that the minimum of the object function could be obtained by the Genetic Algorithm. The numerical simulation was conducted with different maneuver impulse. The result shows that the proposed method can minimize the measurement difference between evasive maneuver adopted and evasive maneuver ignored. The method presented offers a new viewpoint for evasion maneuver research.