A damping connection fitting is installed among a bus, a tubular bus and a valve tower of an inner tube (2) of a converter station and comprises the inner tube (2), an outer tube (7) and a spring pulley (3). The inner pipe (2) is sleeved with the outer pipe (7). The pulley structure (3) is fixedly installed at the set position of the outer wall of the inner pipe (2) and used for sliding on the inner wall of the outer pipe (7) and temporarily fixing the relative position of the inner pipe (2) and the outer pipe (7). According to the scheme, the spring pulley (3) is arranged between the inner pipe (2) and the outer pipe (7), so that the inner pipe (2) and the outer pipe (7) can be temporarily fixed, damage caused by relative movement between tubular busbars or between the tubular busbars andequipment is avoided, and the shock resistance between the tubular busbars is improved when shock with low intensity occurs.