Distributed optical fiber acoustic sensing (DAS) technology provides unique advantages such as dynamic online monitoring, long-haul dense measurement, convenient installation, and maintenance-free operation. Hence, it has attracted extensive research attention in various fields, including perimeter security, structural health monitoring, transportation, oil and gas exploration, and submarine acoustics. Combined with standard communication optical cables or dedicated optical cables, DAS can conveniently form large-scale detection arrays, meet the requirements of seismic wave monitoring for geophysics and natural disaster detection, and achieve applicability in diverse fields. This paper is focused on the emerging seismic wave monitoring application of DAS. In particular, the basic sensing principles, technology development, and application progress of DAS-based seismic wave monitoring are discussed. In addition, the key technical problems and future development trends of DAS for seismic wave detection are analyzed.