Internal control of risk management is still the main problem faced by current sports goods enterprises in the supply chain operation. Supply chain risks have transmissibility and complexity, and have an important impact on the daily operation and development of sports goods enterprises. In order to reduce business losses and enhance supply chain risk response capabilities, this article took Anta Enterprise as an example and conducts in-depth research on the internal control of supply chain risk management (SCRM) in the context of artificial intelligence (AI) for this sports goods enterprise. It used Back propagation neural network (BPNN) to construct a supply chain risk assessment and control model. By training the network on known supply chain sudden risk assessment samples and determining parameters such as risk factor state variables, it achieves risk assessment and internal control. To verify the effectiveness of the model, this article took the 2022 supply chain operation data of Anta Enterprise as a sample and conducts empirical analysis of key risk factors from the perspectives of risk assessment and internal control. The results show that in internal control, the risk decomposition and control effectiveness results of the model for supply chain order completion rate, on time delivery rate, and information transmission accuracy were approximately 70.58%, 72.53%, and 66.00%, respectively. The empirical analysis results of this article indicate that the internal control of SCRM in sports goods enterprises under the background of artificial intelligence plays a certain role and significance in promoting the stable development of the enterprise supply chain.