A shock absorption device includes first and second assemblies, at least one pivot component and a buffering component. The first assembly is adapted to be connected to a first component of a bicycle and has at least one conical hole. The second assembly is adapted to be connected to a second component of the bicycle. The pivot component is fastened on the second assembly and has a conical portion. The conical portion is inserted into the conical hole such that the first and second assemblies are pivoted to each other. The conical portion is leaned against and fitted on the conical hole. The buffering component is disposed between the first and second assemblies. When the first and second assemblies rotate relatively to each other by taking a central axis of the conical hole as a rotation axis, force between the first and second assemblies is buffered by the buffering component.