  The bouncing cosmology provides a successful solution of the cosmological
singularity problem. In this paper, we study the bouncing behavior of a single
scalar field model with tachyon field non-minimally coupled to itself, its
derivative and to the curvature. By utilizing the numerical calculations we
will show that the bouncing solution can appear in the universe dominated by
such a quintom matter with equation of state crossing the phantom divide line.
We also investigate the classical stability of our model using the phase
velocity of the homogeneous perturbations of the tachyon scalar field.
