A rotary shaft link assembly structure is connected between a first support and a second support of two articles. The rotary shaft link assembly structure has a rotary shaft assembly and at least one synchronous rotational assembly. The rotary shaft assembly has multiple connection members side-by-side disposed between the first and second supports. Each connection member is correspondingly formed with at least one hollow section. The synchronous rotational assembly passes through the hollow sections of the connection members to respectively connect with the first and second supports, whereby the connection members are transversely serially connected to drivingly bend and connect along with the synchronous rotational assembly. The connection members respectively shield a part of the synchronous rotational assembly to provide a protection effect and reduce the dropped powder and oil leakage caused by the friction.