In this paper, we are going to study quintom dark
energy cosmological model. In that case we introduce the
action of gravity which is minimally couple to scalar field φ
and σ with potential V (φ,σ). First we write the Lagrangian
of corresponding model in FRW model. Here we also introduce
the non-commutative geometry and modify the above
model. The deformed model leads us to obtain the equation
of state. And finally we discus the present cosmological in
case of phantom and quintessence. And also, we investigate
the critical point and stability of system.