This paper is to analyze the cycle of the manufacturer, the order cycles of the retailers and the order cycles of raw materials in a multi-stages supply chain with source of raw material, manufacturer and the retailers. The cycle of the manufacturer is the elapsed time between two successive beginnings of the production cycle. The decision making factors that minimizes the cost in a multi-stages supply chain are coordinated through supply chain cycles. Cost factors are the production setup cost and inventory holding cost of the manufacturer, the ordering cost and inventory holding cost of the retailers and the ordering cost and inventory holding cost of the raw material. A mathematical model is represented with the cycle of the manufacturer, the numbers of supply to retailers and order numbers for raw materials. The reference value for defining the search range of the cycle of the manufacturer is obtained through the costs of the manufacturer. A minimum cost solution method is suggested, and the solution results are compared with those of genetic algorithm through a numerical example.