Abstract: Thermal compression simulation tests of 0.5% graphene reinforced aluminum composite were carried out under conditions of deformation temperature of 330-450 ℃ and strain rate of 0.01-10 s^-1, and the thermal deformation behavior of the composite was studied. The constitutive equation considering the strain compensation was established with the flow data. The processing map was constructed by the dynamic material model, and the optimal parameter range was determined. The finite element simulation of the thermal extrusion of the material was conducted with a set of optimal parameters. The results show that the true stress-strain curves of the composite under different thermal deformation conditions showed the characteristics of first rise, then fall, and finally tending to be stable. The peak stress decreased with incresing deformation temperature and decreasing strain rate. The optimal deformation temperature of the composite was 410-430 ℃, and the strain rate was 0.01-0.016 s^-1. The finite element simulation showed that the extruded composite profiles had relatively good performance at with deformation temperature of 420 ℃ and strain rate of 0.01 s^-1.