Sports social organizations refer to nonprofit, nongovernmental, and group organizations that achieve specific service goals and common aspirations and spontaneously form various sports and fitness activities in accordance with the rules. This article aims to study how to optimize the index system of the capacity developments by relying on image optimization and recognition simulation. This article puts forward the relevant theoretical knowledge of image optimization and recognition and capacity developments and proposes two algorithms based on image optimization and recognition. In 2019, the percentage of growth of sports social organizations rose from 6.7% to the final 27%; in 2020, the growth rate of sports social organizations is getting higher and higher, from 9% at the beginning to 34% at the end. It can be seen that people’s love for sports activities is getting higher and higher, and the state is paying more and more attention to sports social organizations. The factors that affect the development ability of sports social organizations include the quality, education, and management capabilities of the members of the organization, and the country and the government should also take corresponding measures. The improvement of the development ability of sports social organizations is of great significance to the development of sports social organizations.