Based on the principles of extenics and its major characteristics of matter-element theory, an analysis is made of the main factors affecting the quality of power supply service. Furthermore, the matter-element analysis model is used to build a quality evaluation index system for power supply service in the following steps: quality level division, construction of matter-element analysis model, calculation of correlation function values, calculation of weights, and determination of membership grade. Empirical analysis show the feasibility of the evaluation method proposed.