Abstract: Provided is a gear box removable electrically driven torque wrench. The gear box removable electrically driven torque wrench includes: a body casing 10 including a body part 12 in which an electric motor and a motor driver are mounted in an internal accommodation space and a handle part 14 extending downward of the body part; a gear box 20 dynamically coupled to a motor rotation shaft 13 of the electric motor in front of the body part 12, and adding and reducing an output according to driving of the electric motor and transmitting the added and reduced output to a tightening member; and an adapter socket including a coupling adapter installed on a gear box coupled surface 11 in front of the body part 12 and a coupling socket fixedly installed on a body coupled surface 21 at the rear of the gear box 20 and detachably coupled to the coupling adapter.