As consumers’low-carbon preference and third-party logistics (3PL) have a significant impact on supply chain decision-making, Spanning Revenue-Sharing Contract is proposed to achieve supply chain coordination. Based on consumers’low-carbon preference, four game models of manufacturer, 3PL and retailer are constructed. By solving the problem, the equilibrium solution of supply chain game under different situations is obtained, and the influence of consumers’low carbon preference on actual carbon emissions under 3PL logistics service and retailer self-logistics is studied. The effects of consumers’environmental awareness on actual carbon emissions, product demand, supply chain profit and supply chain coordination under different decision-making situations are discussed by numerical simulation. Further analysis shows that when the initial carbon emission is low, the enhancement of consumers’ environmental awareness can reduce the actual carbon emission per unit product. However, when the initial carbon emission is high, the actual carbon emission first decreases and then increases with the enhancement of consumers’ environmental awareness. Under certain conditions, whether the initial carbon emissions are high or low, 3PL can improve the profits of manufacturers and the whole supply chain by providing logistics services. SRS contract can effectively coordinate the supply chain and achieve Pareto improvement of the supply chain for all members.