A lot of research at home and abroad used genetic algorithm on the problem of space Tracking,Telemetry and Command (TT&C) resource scheduling,which is a kind of time window limited constraint satisfaction problem,and good effects are achieved.But most proiects focused on Low Earth Orbit (LEO) spacecraft which has a short visible pass and the total pass is tracked usually,without considering High Earth Orbit (HEO),which has long visible pass and usually only part of it is tracked.Aiming at the characteristics of spacecraft TT&C resources unified allocation for HEO and LEO spacecraft,a multi-dimension genetic encoding method is promoted to describe this problem.The corresponding elements of the algorithm including crossover operator and mutation operator are defined as well so that a multi-dimension genetic algorithm is built to solve the resources allocation problem.Simulation results show that this algorithm effectively solves the problem of TT&C resources management and unified allocation for LEO and HEO spacecraft,as required by the current domestic managing mode of "one net for multi-spacecraft".