In this study, we enhanced the performance of the interpolation-based parametric reduced order model (IB-PROM) by employing the mode selection method to the domain of design parameters. For the conventional IB-PROM combined with component mode synthesis, substructural modes are selected by using the frequency cut-off method. However, if the value of the system parameter changes during the design optimization procedure, the order of important substructural mode can be switched. In other words, if we keep using the modes selected during the sampling process even though the design variables are changing, the accuracy of the ROM decreases. To improve the performance of the IB-PROM combined with the component mode synthesis for various design parameters, we adapted the mode selection method based on the moment-matching (CMSχ). Various numerical examples are studied to demonstrate the efficiency and accuracy of the proposed method.