When a company provides new games or games with a small number of users, it is convenient to provide the game service in which those games are placed in a server cluster instead of a separate server for an individual game. This paper proposes a method for placing games in a cluster of servers with the same capacities. The method reduces the load imbalance among servers and minimizes the rejection ratio of user requests. We expect that the proposed method is useful for determining the server operation factors such as the number of servers, the number of games for a server, etc. To our survey, little research has been published on game placement on a cluster of game servers.