The invention discloses a walking type shield machine lateral sway system and a lateral sway method. The lateral sway system comprises a receiving bracket, a plurality of lifting jacks, a lateral pushing mechanism and a clamping device, wherein the receiving bracket is used for carrying a shield machine; the lifting jacks are connected with the shield machine through a horizontal moving pair and are used for lifting the shield machine; the lateral pushing mechanism is arranged between the receiving bracket and the side wall of a station and is used for pushing the receiving bracket to producerelative displacement between the receiving bracket and the ground; the clamping device comprises at least one first bracket and at least one second bracket; the first bracket is welded to the shieldmachine; the second bracket is welded to the receiving bracket; and the first bracket is matched with the second bracket. By using the technical scheme, the system is convenient and flexible to use, and the utilization rate of equipment can be effectively increased.