Rolling resistance (RR) is a key factor affecting vehicle energy efficiency and fuel consumption, and it is strongly influenced by tire design parameters. In this study, the effects of tire mass and key geometric parameters, including dynamic sidewall, dynamic diameter, and seated width, on RR are systematically investigated through experimental measurements and analytical modeling. Unlike conventional studies that primarily focus on applied load, this work emphasizes the influence of the tire’s intrinsic mass and incorporates multiple design parameters within a unified framework. To better represent tire behavior under rolling conditions, dynamic (functional) geometric parameters are used instead of nominal values. Based on experimental data obtained under controlled conditions in accordance with ISO 28580, individual relationships between each parameter and RR are established using curve-fitting techniques. A comprehensive model is then developed by combining these effects through different weighting approaches. In particular, a novel sliding normalization model (MSN) is proposed to adaptively determine variable weighting coefficients. Unlike constant and sigmoid-based methods, the MSN approach adjusts parameter weights based on their normalized positions within the dataset range, thereby improving flexibility and predictive performance. The proposed model is validated using 27 tire samples, including 21 test tires and 6 additional tires not used in model calibration. The results show that the MSN approach achieves a lower prediction error than conventional weighting methods. The model demonstrates strong predictive capability within the investigated parameter ranges. It should be noted that the proposed framework is semi-empirical and is developed under controlled testing conditions, with operational variables such as inflation pressure, temperature, and velocity kept constant. Therefore, the model’s applicability beyond the studied domain requires further investigation. Nevertheless, the present study provides a practical, adaptable approach for analyzing the influence of tire design parameters on RR and lays a foundation for future model development.