The invention discloses a scroll sawing machine and a shock-absorbing device. The scroll sawing machine is provided with a main body, a frame, a fixed block, and a driving device, wherein the frame is arranged on the main body, the fixed block is eccentrically and fixedly connected with a rotating shaft of the driving device, the driving device is arranged on the main body, the shock-absorbing device comprises a pivotal arm and a connecting part, wherein the pivotal arm is connected with the main body of the scroll sawing machine, the connecting part is provided with a third end and a fourth end, the third end is rotationally connected with the fixed block, the fourth end is rotationally connected with the pivotal arm, and the gravity center of the pivotal arm and the gravity center of the frame move oppositely in up-down direction when the rotating shaft rotates.