  In this paper, the tunneling radiation of fermions with spin $1/2$ and $3/2$
from the non-stationary Kerr black hole are investigated. First, according to
the Dirac equation for spin $1/2$ fermions and Rarita-Schwinger equation for
spin $3/2$ fermions, we construct the corresponding gamma matrixes and the
derive Hamilton-Jacobi equation for spin $1/2$ and $3/2$ fermions. Then, the
tunneling behavior of fermions on the event horizon is studied. Finally, we
obtain the thermodynamic properties of the non-stationary Kerr black hole. The
result shows that the tunneling radiation rate, surface gravity and temperature
are all related to ${\dot r_H}$ and ${r'_H}$
