In the studies of basketball competitions, the focus is mainly on the players’ offensive capacity that may affect the outcome of the game. The offensive capacity of a team is decided by many factors, so it is of great necessity to set up an evaluation index system in order to further explore those various factors. This paper aims at analyzing the offensive effects of different level of offensive capacity during the basketball competitions and developing an index system to evaluate basketball offensive capacity in order to provide basketball players with a rational approach of training and improving competition skills. This paper first analyzes basketball offensive capacity in detail by extracting indicators of offensive capacity and setting up a multilayer index system to evaluate the offensive capacity of a team. It then quantifies all the indicators according to Fuzzy Mathematics Theory. At last the paper presents the process of offensive capacity evaluation based on AHP, providing a theoretical basis for more scientific and accurate evaluation of basketball offensive capacity.