The invention provides a recyclable single-bundle post-tensioning non-bonding prestress underground diaphragm wall and a construction method. Prestressed ribs are arranged in a reinforcement cage, andafter concrete pouring to the underground diaphragm wall section is finished and the designed strength is reached, tensioning of the prestressed ribs is conducted, the crack resistance degree of theunderground diaphragm wall is improved, the fracture surface of the underground diaphragm wall is reduced, the usage amount of ordinary steel bars is reduced, the weight of the reinforcement cage of the underground diaphragm wall is reduced, and the reinforcement cage hoisting difficulty and risks are reduced. In addition, due to the fact that each prestressed rib is a non-bonding prestressed rib,each non-bonding prestressed rib comprises an outer casing pipe and a steel strand arranged in the outer casing pipe, the prestressed ribs are arranged on the reinforcement cage in a U shape manner,the two ends of each prestressed rib stretch out of the top face of the underground diaphragm wall section planned to be built, and after underground structure construction is finished, the steel strands of the prestressed ribs are unloaded and recycled, the steel strands can be repeatedly utilized, and the construction cost is reduced.