This paper presents a systematic design procedure for the design of a laboratory cold rolling mill. In order to arrive at proper decisions at various stages of the design, the concepts of fuzzy sets and priority decision tables were employed. The design process starts from deciding specifications and gradually reaches the detailed design phase. Specifications were fixed by trading-off various conflicting goals using the fuzzy set-based methodology. The various factors to be considered for deciding the roll diameter are presented. The roll diameter and motor power are chosen using the fuzzy set-based technique. Three possible arrangements for transmitting the power to rolls were conceived. The best among these three design alternatives was chosen by preparing a priority decision table. After the conceptual and embodiment stages of the design, the detailed design was carried out in a conventional way. The present paper gives more emphasis to a systematic design procedure for the conceptual and embodiment stages in the design process.