An electric table stand, a coupling thereof, and an electric table with the electric table stand; the electric table stand includes a holder, two support legs, and a transmission apparatus. The two support legs are detachably connected to two ends of the holder and parallel to each other. Each of the support legs includes a screw rod and a first transmission shaft driving the screw rod to rotate. The transmission apparatus is assembled in the holder, and includes a motor, a second transmission shaft driven by the motor and at least one coupling. The coupling includes a first joint connected to the first transmission shaft, a second joint connected to the second transmission shaft, and a flexible body flexibly pushing the second joint to be correspondingly connected to the first joint.