All-solid-state batteries are considered as one of the most promising next-generation energy storage technologies due to their superiorities of high safety and high energy density. As the core component of all-solid-state batteries, solid-state electrolytes are of great importance for the development of all-solid-state batteries. As a novel family of solid electrolytes, lithium/sodium-rich anti-perovskites have attracted much attention due to their good comprehensive performances. In this review, the latest research progress on lithium(sodium)-rich anti-perovskite solid electrolytes during recent years was represented.