A transport arm device for carrying at least one disc includes a driving mechanism, a sway control member, and a swaying mechanism. The sway control member comprises a hole substantially in the middle of the sway control member for receiving a portion of the driving mechanism and two leaf springs extending up from two sides of the sway control member respectively. The swaying mechanism is capable of grabbing the discs. The swaying mechanism comprises a rotating connection for engaging with a suspension of the transport arm device. The two leaf springs are contacted with the swaying mechanism. The sway control member is moved by the driving mechanism so as to rotate the swaying mechanism along a rotary axis on the rotating connection, and the two leaf springs provide elasticity for the swaying mechanism rotating back.