The tunneling dynamics of superfluid Fermi gas in a triple-well potential in the unitarity regime is investigated in the present paper. The fixed points of the (0,0) mode and the (π, π) mode are given. We find that the interaction parameter U and the coupling strength k could have an extreme effect on the quantum tunneling dynamics. We also find that, in the zero mode, only Josophson oscillation appears. However, for the mode, the trapping phenomena take place. An irregular oscillation of the particle number in each well could appear by adjusting the scanning period T. It is noted that if the scanning period is less than a critical point T*, the particle number will come back to the fixed point with small oscillation, while if T 〉 T* the particle number cannot come back to the fixed point, but with irregular oscillations. The dependence of the critical point T* on the system parameter of coupling strength k is numerically given.