Abstract: Natural gas hydrates represent a promising alternative energy source, with numerous experimental explorations conducted internationally. The permeability of natural gas hydrate reservoirs is a key parameter influencing gas recovery. Due to the shallow burial depth and poor consolidation characteristics of hydrate reservoirs, their permeability is affected by various factors during extraction; this phenomenon is termed permeability sensitivity. Techniques for testing the permeability of hydrate reservoirs were introduced. The mechanisms underlying permeability sensitivity—specifically stress sensitivity, flow velocity sensitivity, water sensitivity, and salinity sensitivity—were analyzed. Theoretical models describing permeability sensitivity in hydrate reservoirs were summarized. Existing problems in the study of hydrate reservoir sensitivity were outlined, along with suggestions for future research, aiming to provide references for natural gas exploitation.