Due to the large scale of Water Cherenkov Detector Array in Large High Altitude Air Shower Observatory, the frontend digitization is imperative. Thus a clock distribution system is desired, which broadcasts the synchronous clock signals with low jitter to the frontend electronics distributed in the field of 90 000 m². The White Rabbit protocol provides an option, which has been approved to achieve sub-ns accuracy and ps jitter in the synchronization of around 1 000 nodes in the order of 10 km. But the hierarchy of the original is too complex for Large High Altitude Air Shower Observatory application. Thus we proposed a reduced scheme based on the White Rabbit protocol. The validation circuit shows that the clock skew due to the fiber length difference can be adjusted to less than 25 ps and the clock jitter is less than 62 ps.