The 0.5 wt.% Ni-modified graphene/2024 Al matrix composites were formed by hot compression at the temperature(T) was 300-450 °C, the strain rate( ε ˙ ) was 0.001-1 s−1. The influence of T and ε ˙ on the flow stress(σ) behavior of the composites was analyzed. Moreover, the metamorphic activation energy of the composites was deduced from the stress-strain data, and the Arrhenius constitutive equation relation of the composites was constructed. According to the dynamic model, the hot processing maps of composites were calculated and analyzed. The Arrhenius constitutive equation of the material is established and the Q is 222.22951 KJ/mol by the peak stress. According to the hot processing maps, the hot instability region of the hot deformation in the experimental parameter interval is determined. Furthermore, the optimal machining interval parameters of the material are proposed to be the ε ˙ of 0.011-0.368 s−1, the hot working T of 420 - 450 °C.