To provide a shaft coupling capable of securing a uniform velocity in eccentricity even when a link mechanism is employed, and preventing the unnecessary vibration from occurring.

Four guide shafts 13A to 13D are cruciformly arranged on the circumference of a drive side plate 11 rotating on the same axis line as a drive side member 11J. Link setting members 14A to 14D are slidably set to each of the guide shafts 13A to 13D along the guide shafts 13. The link setting members 14A to 14D and a driven side plate 12 rotating on the same axis line as a driven side member 12J are connected with link members 15, 15 forming a parallel link mechanism 16 respectively.