Lithium-sulfur batteries have the advantages of high theoretical energy density, low cost and environmental friendliness, and they are the most promising next-generation high-energy density secondary battery systems. Currently, liquid lithium-sulfur batteries based on organic electrolytes have some problems such as lithium polysulfides(LiPSs) shuttle effect, electrolyte flammability and lithium dendrite, resulting in low coulombic efficiency and poor cycle stability of lithium-sulfur batteries, and there are serious safety hazards. The uses of solid electrolytes(gel polymers, solid polymers, ceramics, composite electrolytes, etc.) in place of organic liquid electrolytes are effective strategies to address the above problems. Herein, we present the research status of solid-state electrolytes of lithium-sulfur batteries, and summarize their advantages/disadvantages and improvement strategies, and focuses on the research progress of ceramic solid electrolytes. Finally, we forecast future development trends of solid lithium-sulfur batteries.