With the characteristics of high thermal conductivity, Graphene has a good application prospect in the field of heat transfer, and it’s of great significance to study graphene thermal conductivity theory and application. This paper investigated the heat transfer behavior of graphene at the solid-liquid interface by using the molecular dynamics method, and studied the effect of graphene heat transfer layer on the wall-liquid interface thermal resistance and flow characteristics under different wall temperatures. The results show that a single graphene heat transfer la-yer can significantly reduce the temperature jump of the solid-liquid interface and the interfacial thermal resistance in a static fluid. The higher the wall temperature is, the more significant the reducing effects of the graphene layer on the interfacial thermal resistance will be. The a reduction rate is as high as 48% and 45.9%, respectively. The external force was applied to the fluid to keep fluid flowing, and the results show that, as the graphene-fluid inte-raction is weaker than the wall-fluid interaction, the velocity slip at the solid-liquid wall is increased. And graphene has the feature of a large specific surface area, so the number of molecules near the wall is increasead, and the thermal motion and the temperature jump near the wall is enhanced.