In this paper,we consider the situatio n that three two-level atoms resonantly interacts with three cavities coupled by two optical fibers.The dynamics of nonlocality in the system is investigated via Mermin-Ardehali-Belinksii-Klysh ko (MABK) inequality.The evolution of the state vector of the system is given by solving the Schrodinger equation when the total excitation number of the systems equals one.By means of the numerical calculation,we depict the evolution curves of parameter B describing MABK inequality.The effects of cavity-fiber coupling constant on the MABK inequality are discussed.The results obtained from the numerical method show that the parameter B is greater than one,and the evolution curves of parameter B display the violation o f MABK inequality.This indicates that the quantum state of three atoms in the system displays nonlocality.On the other ha nd,the average of parameter B increases and the violation of MABK inequali ty is strengthened with increase of cavity-fiber coupling constant.This also shows that the nonlocality of three a toms quantum state is strengthened with the increase of cavity-fiber coupling constant.