According the defects that genetic algorithm easily falling into local optimum and ant colony optimization is little initial pheromone information, the fusion algorithm of genetic and ant colony was proposed for the resources scheduling problem. The definition of ant colony optimization pheromone was improved. The idea of coding based on the serial number of time windows was used. The restrictive condition and the objective function of the resources scheduling was given and the mathematical model was established. The optimization characteristics of fusion algorithm, standard genetic algorithm and modified ant colony algorithm were analyzed by simulation. The result shows that it is quite good to solve the relay satellite scheduling problem by using the fusion algorithm.