An Ising-type atom-atom interaction is obtained in a fibre-connected three-atom system. The interaction is effective when △≈γO＞＞g.The preparations of remote two-atom and three-atom entanglements goveed by this interaction are discussed in a specific parameter region.The overall two-atom entanglement is very small because of the existence of the third atom.However,the three-atom entanglement can reach a maximum very close to 1.