With oil and gas exploration moving into high-pressure, high-temperature, and ultra-deep environments, the importance of well control has grown significantly. Well control software plays a crucial role in ensuring drilling safety and enhancing efficiency. This paper conducted a systematic review and categorization of advanced international well control software through extensive literature research. The software is classified into 10 categories based on well control technology characteristics, with a detailed discussion of functionalities and features. Furthermore, this paper focuses on the modeling methods employed in well control software over the past five years and their recent advancements. Research findings reveal that current software is primarily tailored to tackle specific issues. The development of integrated software is a pressing issue that requires immediate attention. In the future, well control software is expected to continue evolving towards cloud-based, intelligent, and integrated solutions with diverse modeling capabilities. This paper offers a comprehensive overview of the current advancements and future directions in well control software, providing leadership and practical value for oil and gas software service companies, oilfield enterprises, as well as developers and users of well control software.