Pediatrics is an integral part of public health services. With the impact of the epidemic and the high-quality transformation of China's development, the contradiction in the supply of pediatric public services has become more prominent. Scientific evaluation of the efficiency and quality of pediatric services, clarifying the redundancy of pediatric input resources and adjusting the construction of pediatric services with the help of influencing factors have become important research topics. This paper uses the three-stage SBM-DEA model to summarize the efficiency of China's pediatric services using panel data from 31 provinces and cities in 2008-2019, taking into account undesired outputs such as doctor-patient disputes. Among them, the evaluation system focuses on the role of financial, capital, and other factors, and the Tobit regression model is used to clarify the degree of influence of various factors. The study found that (1) China's pediatric service supply has the characteristics of geographic heterogeneity. (2) The redundancy of various resource inputs is apparent, and the supporting capacity of financial capital is not significant. (3) The economic, technological, and professional environment helps to digest the redundancy of inputs. (4) Capital, urbanization, education development, and birth rate increase under financial operation will promote the increase of the efficiency of pediatric public services.