I need to go from Guangzhou (airport) to Fuzhou or Xiamen.Is there any bus?or other suggestion?

There is no direct bus from Guangzhou airport to Fuzhou or Xiamen. The best way is to take flight from Guangzhou to Fuzhou or Xiamen. Or you can take the airport shuttle bus from Guangzhou airport to Guangzhou train station, then take train to Xiamen. It takes more than 13 hours. Then you could take bullet train from Xiamen to Fuzhou.