The two-body and three-body entanglement dynamics behavior of two pairs of non-interacting, spatially separated atoms in dual-mode cavity field is investigated. The non-degenerate two photons Tavis-Cummings model is investigated. Influences of the initial state of entanglement, coupling strength between atom and cavity field, optical fiber mode and cavity field on entanglement are analyzed by numerical calculation. Results show that initial state of entanglement has significant influence on entanglement between atoms. The larger coupling strength between cavity filed and optical fiber mode can achieve the transfer of maximal entanglement between atoms. The larger coupling strength between atom and cavity field can help build up the three-body entanglement between two atoms and cavity field.