The present invention provides a heat-driven adsorption vacuum dehumidification system including a vapor adsorption apparatus having a water permeable hydrophilic membrane separating the apparatus into at least a feed section and a low-pressure or vacuum section (evaporator), and providing a water vapor pressure difference to extract moisture from the air flowing through the apparatus into the evaporator, followed by adsorption in an adsorption chamber, and subsequently desorbed when acted as a desorption chamber to form water vapor which is condensed in a condenser. Adsorption and desorption chambers inter-change periodically to form a complete system cycle. Heating of chamber/compartment can be from waste heat or a renewable source in the absence of any electricity supplied externally. Related method for using a heat-driven adsorption vacuum dehumidification system to remove moisture from the air is also provided. The present invention is superior to the adsorption chiller over a wide range of operating conditions.