Abstract: Minimum-time, impulsive, fuel-fixed orbital rendezvous problem with path constraints was modeled and saluted with genetic algorithms. For several initial phase angles of the target relative to the vehicle, optimal solutions were obtained for a range of fixed-fuel consumptions and terminal radius, besides the influences of path constraints on the solutions were also considered. Finally, the rules how optimal numbers of impulses changing with these factors were determined. The results obtained can be used in missions with fuel and path constraints, such as space rescue operations and avoidance maneuvers.