Based on the analysis of business process value model in business process reengineering , there often have the relationship of complementarity among decision variables in a value model . It has a high value for constructing business process value model through the study on the characters and methods which present the complementarity in objective functions. Based on the complementarity theory and the characters of supermodular functions , we studied the basic characters of supermodular functions which can represent the complementarity in parameters and discuss the existence of compounding supermodular functions. At last it provides the basic approach and step for objective functions constructing in parameters with complementarity. Then it provides a quantitative tool for decision-maker in analysis of value mode