Solid lithium metal batteries (SLMBs) are an emerging field of advanced battery technology, with immense implications for various sectors. One of the key components of SLMBs is the solid electrolyte, which acts as both the separator and the ionic conductor between the electrodes. Among the various types of solid electrolytes, NASICON LATP has received considerable attention due to its high mechanical robustness, safety, environmental stability, low cost, and wide electrochemical window. These attributes enable LATP to improve the performance and safety of SLMBs, create opportunities for the fabrication of high-performance SLMBs, and stimulate extensive research efforts. This review provides a contrast of the various typical solid electrolytes and the synthesis methods of LATP, as well as recent advances affecting their ionic conductivity properties. It also highlights the challenges and opportunities facing LATP and suggests future directions for enhancing LATP and SLMB technology. To achieve further progress in LATP and SLMB technology, it is essential to precisely control the crystal structure, electrolyte pellet structure, and secondary phase components of LATP, in order to optimize the ion transport efficiency and increase the stability and safety of LATP, and to facilitate the development of high-performance SLMBs.