In this paper,we consider the situatio n that two of three identical two-level atoms are trapped in two coupled c av ities separately and another atom is outside the cavity.The evolution of the state vector of the system is given.Three atoms are in like-W state,and optical cavities are all in vacuum state initially.Negativity is adopted to quantify th e degree of entanglement.By means of the numerical calculations,we investigate the temporal evolutions of the entanglement between atoms.The influences of coupling constant between cavi ties and the parameter describing the atomic initial state on the entanglements are discussed .The results show that the disentanglement time zone of atom-atom entanglement is reduced,and the curve peaks of entanglements increase as initial entanglement between atoms incr eases.This indicates that the entanglement between atoms is strengthened with the increase of initial entanglement between atoms.The atom-atom entanglement is also strengthened with the increase of the coupling constant between cavities.On the other hand,we consider the case which the state of atom outside cavity is measured.When a direct selective measu rem ent is performed or not,the effect of the state-selective measurement on the entanglement is di scussed.We find that the entanglement between atoms can be strengthened through the state-selective measurement.