A Transmission Gear Shift (TGS) cable socket including a rubber damper to couple a TGS lever and an outer cable to each other so a manipulation force of the TGS lever is transmitted to a transmission through an inner cable disposed in the outer cable, may include the rubber damper to damp vibration transmitted from the outer cable, a steel cup disposed coaxially with the rubber damper, the steel cup having a first end disposed in the rubber damper, and a second end protruding from the rubber damper and coupled to the outer cable, and a guide pipe disposed coaxially with the rubber damper, the guide pipe including a first end disposed in the rubber damper at a position spaced apart from the steel cup, and a second end protruding from the rubber damper.