Abstract: The structure and characteristics of materials undergo changes under high pressure. The study of high-pressure conductance is very important for understanding the effect of pressure on materials and for discovering novel conducting materials. The diamond anvil cell, ultrahigh pressure large cell, and high pressure electrical conductance cell are frequently used for high-pressure conductance measurement. The first can attain a pressure of 550GPa; the second has a bigger sample volume but a pressure less than 30GPa; the third is mainly used to study fluid conductanceand can only reach 4000 atm. There are also static and flow cells in use, the latter is of recent design and is more accurate and convenient to use. Recent progress in the research of conductance under high pressure is summarized.