To improve the guidance precision of far range autonomous proximity of non-cooperative target under double line-of-sights (LOS) navigation in geostationary orbit (GEO), a formation proximity method is proposed by using particle swarm optimization (PSO) multiple impulses guidance law. More specifically,this method transforms the two impulses C-W guidance law into multiple impulses C-W guidance law with mid-correction. Then, the multiple impulses of fixed-time fuel optimal problem is presented under the constraints, and a PSO algorithm with two fitness functions is introduced to solve the multi-objective optimization problem with constraints of guidance precision and double LOS. Numerical simulations are studied to verify effectiveness and feasibility of the PSO algorithm of multiple impulses guidance under different conditions.