A Support Vector Machine (SVM in short) is a mechanism for data analysis such as classification, regression, and clustering. In this paper, we consider the soft margin formulation of SVM for two-class classification problems, and discuss a way to choose an appropriate parameter that determines the influence of misclassified examples. Based on the observation in \cite{bennett-bredensteiner:icml00}, we propose one criterion for choosing the parameter, and give some fact justifying this criterion.