With the increasing demand for energy due to economic growth and technological advancements, the need for Integrated Energy Systems (IES) has become essential. IESs address energy shortages by combining various energy forms through transformation and scheduling. Energy storage systems have also been integrated into IESs to enhance energy utilization. However, most existing research focused on single electric or thermoelectric storage units, which are insufficient for complex multi-energy systems. To address this, hydrogen storage technology has been introduced to IESs, enabling energy generation and storage during surplus energy periods. Various studies have highlighted the benefits of incorporating hydrogen storage in IESs. It improves system efficiency, environmental impact, reliability, and flexibility. By using stored hydrogen during renewable resource shortages, IESs can optimize energy supply. Researchers have proposed different IES architectures with hydrogen storage, emphasizing cost reduction, carbon emission mitigation, and improved system economy through coordinated energy supply. The literature also discusses optimization models combining hydrogen storage with water storage or electric storage to address uncertainties in renewable energy supply. These models aim to enhance system efficiency and reliability. Additionally, some studies explored hybrid energy storage units involving hydrogen and electric storage to optimize multisource microgrid operation. While existing research mainly focuses on the energy supply side, there is a need to consider demand-side characteristics to achieve a balanced system. IES optimization scheduling requires advanced algorithms like ADMM and NSGA-II to handle the complex multi-objective optimization problem efficiently. In conclusion, integrating hydrogen storage technology in IESs offers numerous benefits for system operation, emphasizing economy, environmental sustainability, and reliability. Future research should aim to balance both supply and demand considerations in IES optimization scheduling and enhance algorithm efficiency for improved system performance.