An Ising-type atom–atom interaction is obtained in a fibre-connected three-atom system. The interaction is effective when ≈γ 0 g. The preparations of remote two-atom and three-atom entanglements governed 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.