The interface between graphene and natural rubber significantly impacts the thermal properties of graphene/natural rubber composites. This paper uses molecular dynamics to investigate interfacial heat transport. The study found that the thermal conductivity of the composites increases non-linearly with graphene content: a 136 % increase at 10.5 % graphene and only 12.23 % at 16.4 % graphene. As graphene content increases, graphene agglomerates within the natural rubber due to weak van der Waals forces. The interfacial thermal resistance of the composites increases with temperature, rising by 69.94 % from 200K to 450K. When pressure increases from 0.1 MPa to 2.5 MPa, the maximum change in interfacial thermal resistance is 24.39 %. The study also found that interfacial thermal resistance increases with the number of graphene layers. Thus, the interfacial thermal resistance between graphene and natural rubber is the main reason for the minor change in the thermal conductivity of the composites, with temperature having a greater impact.