In this study, a model of Genetic Algorithms (Gas) on the computational grids is discussed through the numerical experiments. The proposed system is a master worker model. In this system, a master site reserves the information of the best searching point of a worker site in a queue when the master checks the calculation progress of the workers. At the same time, the master site sends the other information of the searching point that is derived in the worker site to the other worker site. By this operation, the searching information is transferred to every worker site. The proposed system can solve the problems on the computational grids; the sudden halt of the site and network. These characteristics of the proposed system are confirmed and discussed through the numerical experiments.