A shock-absorbing twisting structure includes a first seat and a second seat. The first seat includes an elastic member. A stop member is arranged at one side of the first seat. The second seat is formed with a receiving chamber that is fit over the first seat, such that the elastic member is set in elastic engagement with and is supported between the first seat and the second seat. A main axle penetrates through the second seat and is received in the first seat to set the second seat in a rotatable condition. An elastic unit is arranged at each of two sides of the receiving chamber and the stop member.
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