  In this paper, we investigate the dynamics of Born-Infeld(B-I) phantom model
in the $\omega-\omega'$ plane, which is defined by the equation of state
parameter for the dark energy and its derivative with respect to $N$(the
logarithm of the scale factor $a$). We find the scalar field equation of motion
in $\omega-\omega'$ plane, and show mathematically the property of attractor
solutions which correspond to $\omega_\phi\sim-1$, $\Omega_\phi=1$, which avoid
the "Big rip" problem and meets the current observations well.
