  The bouncing universe provides a possible solution to the Big Bang
singularity problem. In this paper we study the bouncing solution in the
universe dominated by the Quintom matter with an equation of state (EoS)
crossing the cosmological constant boundary. We will show explicitly the
analytical and numerical bouncing solutions in three types of models for the
Quintom matter with an phenomenological EoS, the two scalar fields and a scalar
field with a modified Born-Infeld action.
